diff --git a/tests/zfs-tests/tests/functional/cli_root/zpool/zpool_002_pos.ksh b/tests/zfs-tests/tests/functional/cli_root/zpool/zpool_002_pos.ksh
index 9440e807f206..caf8a9a2d0ee 100755
--- a/tests/zfs-tests/tests/functional/cli_root/zpool/zpool_002_pos.ksh
+++ b/tests/zfs-tests/tests/functional/cli_root/zpool/zpool_002_pos.ksh
@@ -1,112 +1,111 @@
 #!/bin/ksh -p
 #
 # CDDL HEADER START
 #
 # The contents of this file are subject to the terms of the
 # Common Development and Distribution License (the "License").
 # You may not use this file except in compliance with the License.
 #
 # You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
 # or http://www.opensolaris.org/os/licensing.
 # See the License for the specific language governing permissions
 # and limitations under the License.
 #
 # When distributing Covered Code, include this CDDL HEADER in each
 # file and include the License file at usr/src/OPENSOLARIS.LICENSE.
 # If applicable, add the following below this CDDL HEADER, with the
 # fields enclosed by brackets "[]" replaced with your own identifying
 # information: Portions Copyright [yyyy] [name of copyright owner]
 #
 # CDDL HEADER END
 #
 
 #
 # Copyright 2009 Sun Microsystems, Inc.  All rights reserved.
 # Use is subject to license terms.
 #
 
 #
 # Copyright (c) 2012, 2016 by Delphix. All rights reserved.
 #
 
 . $STF_SUITE/include/libtest.shlib
 
 #
 # DESCRIPTION:
 # With ZFS_ABORT set, all zpool commands should be able to abort and generate a core file.
 #
 # STRATEGY:
 # 1. Create an array of zpool command
 # 2. Execute each command in the array
 # 3. Verify the command aborts and generate a core file
 #
 
 verify_runnable "global"
 
 function cleanup
 {
 	unset ZFS_ABORT
 
-	if [[ -d $corepath ]]; then
-		rm -rf $corepath
+	if is_freebsd && [ -n "$old_corefile" ]; then
+		sysctl kern.corefile=$old_corefile
 	fi
 
-	if poolexists $pool; then
-		log_must zpool destroy -f $pool
-	fi
+	# Clean up the pool created if we failed to abort.
+	poolexists $pool && destroy_pool $pool
+
+	rm -rf $corepath $vdev1 $vdev2 $vdev3
 }
 
 log_assert "With ZFS_ABORT set, all zpool commands can abort and generate a core file."
 log_onexit cleanup
 
-#preparation work for testing
 corepath=$TESTDIR/core
+corefile=$corepath/zpool.core
 if [[ -d $corepath ]]; then
-	rm -rf $corepath
+	log_must rm -rf $corepath
 fi
-mkdir $corepath
+log_must mkdir $corepath
 
 pool=pool.$$
 vdev1=$TESTDIR/file1
 vdev2=$TESTDIR/file2
 vdev3=$TESTDIR/file3
 for vdev in $vdev1 $vdev2 $vdev3; do
-	mkfile $MINVDEVSIZE $vdev
+	log_must mkfile $MINVDEVSIZE $vdev
 done
 
 set -A cmds "create $pool mirror $vdev1 $vdev2" "list $pool" "iostat $pool" \
 	"status $pool" "upgrade $pool" "get delegation $pool" "set delegation=off $pool" \
 	"export $pool" "import -d $TESTDIR $pool" "offline $pool $vdev1" \
 	"online $pool $vdev1" "clear $pool" "detach $pool $vdev2" \
 	"attach $pool $vdev1 $vdev2" "replace $pool $vdev2 $vdev3" \
 	"scrub $pool" "destroy -f $pool"
 
 set -A badparams "" "create" "destroy" "add" "remove" "list *" "iostat" "status" \
 		"online" "offline" "clear" "attach" "detach" "replace" "scrub" \
 		"import" "export" "upgrade" "history -?" "get" "set"
 
 if is_linux; then
-	ulimit -c unlimited
-	echo "$corepath/core.zpool" >/proc/sys/kernel/core_pattern
+	echo $corefile >/proc/sys/kernel/core_pattern
 	echo 0 >/proc/sys/kernel/core_uses_pid
-	export ASAN_OPTIONS="abort_on_error=1:disable_coredump=0"
 elif is_freebsd; then
-	ulimit -c unlimited
-	log_must sysctl kern.corefile=$corepath/core.zpool
-	export ASAN_OPTIONS="abort_on_error=1:disable_coredump=0"
-else
-	coreadm -p ${corepath}/core.%f
+	old_corefile=$(sysctl -n kern.corefile)
+	log_must sysctl kern.corefile=$corefile
 fi
+ulimit -c unlimited
 
+export ASAN_OPTIONS="abort_on_error=1:disable_coredump=0"
 export ZFS_ABORT=yes
 
 for subcmd in "${cmds[@]}" "${badparams[@]}"; do
-	corefile=${corepath}/core.zpool
 	zpool $subcmd >/dev/null 2>&1
 	if [[ ! -e $corefile ]]; then
-		log_fail "zpool $subcmd cannot generate core file  with ZFS_ABORT set."
+		log_fail "zpool $subcmd cannot generate core file with ZFS_ABORT set."
 	fi
 	rm -f $corefile
 done
 
+unset ZFS_ABORT
+
 log_pass "With ZFS_ABORT set, zpool command can abort and generate core file as expected."
diff --git a/tests/zfs-tests/tests/functional/cli_root/zpool/zpool_003_pos.ksh b/tests/zfs-tests/tests/functional/cli_root/zpool/zpool_003_pos.ksh
index d51633745d76..71d73c0f80e5 100755
--- a/tests/zfs-tests/tests/functional/cli_root/zpool/zpool_003_pos.ksh
+++ b/tests/zfs-tests/tests/functional/cli_root/zpool/zpool_003_pos.ksh
@@ -1,90 +1,101 @@
 #!/bin/ksh -p
 #
 # CDDL HEADER START
 #
 # The contents of this file are subject to the terms of the
 # Common Development and Distribution License (the "License").
 # You may not use this file except in compliance with the License.
 #
 # You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
 # or http://www.opensolaris.org/os/licensing.
 # See the License for the specific language governing permissions
 # and limitations under the License.
 #
 # When distributing Covered Code, include this CDDL HEADER in each
 # file and include the License file at usr/src/OPENSOLARIS.LICENSE.
 # If applicable, add the following below this CDDL HEADER, with the
 # fields enclosed by brackets "[]" replaced with your own identifying
 # information: Portions Copyright [yyyy] [name of copyright owner]
 #
 # CDDL HEADER END
 #
 
 #
 # Copyright 2007 Sun Microsystems, Inc.  All rights reserved.
 # Use is subject to license terms.
 #
 
 #
 # Copyright (c) 2012, 2016 by Delphix. All rights reserved.
 #
 
 . $STF_SUITE/include/libtest.shlib
 
 #
 # DESCRIPTION:
 #	Verify debugging features of zpool such as ABORT and freeze/unfreeze
 #	should run successfully.
 #
 # STRATEGY:
 # 1. Create an array containing each zpool options.
 # 2. For each element, execute the zpool command.
 # 3. Verify it run successfully.
 #
 
 function cleanup
 {
+	unset ZFS_ABORT
+
 	if is_freebsd && [ -n "$old_corefile" ]; then
 		sysctl kern.corefile=$old_corefile
 	fi
+
+	rm -rf $corepath
+
+	# Don't leave the pool frozen.
+	destroy_pool $TESTPOOL
+	default_mirror_setup $DISKS
 }
 
 verify_runnable "both"
 
 log_assert "Debugging features of zpool should succeed."
 log_onexit cleanup
 
-log_must zpool -? > /dev/null 2>&1
+corepath=$TESTDIR/core
+corefile=$corepath/zpool.core
+if [[ -d $corepath ]]; then
+	log_must rm -rf $corepath
+fi
+log_must mkdir $corepath
+
+log_must eval "zpool -? >/dev/null 2>&1"
 
 if is_global_zone ; then
 	log_must zpool freeze $TESTPOOL
 else
 	log_mustnot zpool freeze $TESTPOOL
 	log_mustnot zpool freeze ${TESTPOOL%%/*}
 fi
 
 log_mustnot zpool freeze fakepool
 
-# Remove corefile possibly left by previous failing run of this test.
-[[ -f core ]] && log_must rm -f core
-
 if is_linux; then
-	ulimit -c unlimited
-	echo "core" >/proc/sys/kernel/core_pattern
+	echo $corefile >/proc/sys/kernel/core_pattern
 	echo 0 >/proc/sys/kernel/core_uses_pid
-	export ASAN_OPTIONS="abort_on_error=1:disable_coredump=0"
 elif is_freebsd; then
-	ulimit -c unlimited
 	old_corefile=$(sysctl -n kern.corefile)
-	log_must sysctl kern.corefile=core
-	export ASAN_OPTIONS="abort_on_error=1:disable_coredump=0"
+	log_must sysctl kern.corefile=$corefile
 fi
+ulimit -c unlimited
+
+export ASAN_OPTIONS="abort_on_error=1:disable_coredump=0"
+export ZFS_ABORT=yes
+
+zpool >/dev/null 2>&1
 
-ZFS_ABORT=1; export ZFS_ABORT
-zpool > /dev/null 2>&1
 unset ZFS_ABORT
 
-[[ -f core ]] || log_fail "zpool did not dump core by request."
-[[ -f core ]] && log_must rm -f core
+[[ -f $corefile ]] || log_fail "zpool did not dump core by request."
 
 log_pass "Debugging features of zpool succeed."