Index: wp-admin/includes/class-wp-media-list-table.php
===================================================================
--- wp-admin/includes/class-wp-media-list-table.php	(revision 20475)
+++ wp-admin/includes/class-wp-media-list-table.php	(working copy)
@@ -295,12 +295,13 @@
 
 	case 'parent':
 		if ( $post->post_parent > 0 ) {
-			if ( get_post( $post->post_parent ) ) {
+			if ( $parent = get_post( $post->post_parent ) ) {
 				$title =_draft_or_post_title( $post->post_parent );
+				$parent_type = get_post_type_object( $parent->post_type );
 			}
 ?>
 			<td <?php echo $attributes ?>><strong>
-				<?php if( current_user_can( 'edit_post', $post->post_parent ) ) { ?>
+				<?php if( current_user_can( 'edit_post', $post->post_parent ) and $parent_type->show_ui ) { ?>
 					<a href="<?php echo get_edit_post_link( $post->post_parent ); ?>">
 						<?php echo $title ?></a><?php
 				} else {