diff --git a/scripts/package-release.sh b/scripts/package-release.sh
index 443c9dd..421b8cf 100755
--- a/scripts/package-release.sh
+++ b/scripts/package-release.sh
@@ -125,6 +125,16 @@ strip_bin() {
   esac
 }
 
+powershell_compress_archive() {
+  for ps in powershell.exe powershell pwsh.exe pwsh; do
+    if command -v "$ps" >/dev/null 2>&1; then
+      "$ps" -NoProfile -Command "Compress-Archive -Force -Path '$stage' -DestinationPath '$out_dir/$artifact'"
+      return 0
+    fi
+  done
+  return 1
+}
+
 for bin in "$stage"/bin/*; do
   strip_bin "$bin"
 done
@@ -132,12 +142,12 @@ done
 printf '%s\n' "$version" >"$stage/VERSION"
 
 if [ "$os" = "windows" ]; then
-  if command -v powershell.exe >/dev/null 2>&1; then
-    powershell.exe -NoProfile -Command "Compress-Archive -Force -Path '$stage' -DestinationPath '$out_dir/$artifact'"
+  if powershell_compress_archive; then
+    :
   elif command -v zip >/dev/null 2>&1; then
     (cd "$out_dir/stage" && zip -qr "../$artifact" dosh)
   else
-    echo "windows packaging requires powershell.exe or zip" >&2
+    echo "windows packaging requires PowerShell or zip" >&2
     exit 1
   fi
 else
diff --git a/tests/release_scripts.rs b/tests/release_scripts.rs
index 3a80a07..7061b5f 100644
--- a/tests/release_scripts.rs
+++ b/tests/release_scripts.rs
@@ -391,6 +391,15 @@ fn package_release_maps_windows_cross_arch_targets() {
     assert!(package.contains("aarch64-pc-windows-msvc"));
 }
 
+#[test]
+fn package_release_windows_zip_tries_classic_and_core_powershell() {
+    let package = include_str!("../scripts/package-release.sh");
+    assert!(package.contains("powershell_compress_archive()"));
+    assert!(package.contains("for ps in powershell.exe powershell pwsh.exe pwsh; do"));
+    assert!(package.contains("\"$ps\" -NoProfile -Command"));
+    assert!(package.contains("windows packaging requires PowerShell or zip"));
+}
+
 #[test]
 fn systemd_service_does_not_sandbox_remote_shells() {
     let service = include_str!("../packaging/systemd/dosh-server.service");