Index: src/wp-admin/includes/class-walker-nav-menu-edit.php
===================================================================
--- src/wp-admin/includes/class-walker-nav-menu-edit.php	(revision 39557)
+++ src/wp-admin/includes/class-walker-nav-menu-edit.php	(working copy)
@@ -197,15 +197,30 @@
 					</label>
 				</p>
 
-				<fieldset class="field-move hide-if-no-js description description-wide">
-					<span class="field-move-visual-label" aria-hidden="true"><?php _e( 'Move' ); ?></span>
-					<button type="button" class="button-link menus-move menus-move-up" data-dir="up"><?php _e( 'Up one' ); ?></button>
-					<button type="button" class="button-link menus-move menus-move-down" data-dir="down"><?php _e( 'Down one' ); ?></button>
-					<button type="button" class="button-link menus-move menus-move-left" data-dir="left"></button>
-					<button type="button" class="button-link menus-move menus-move-right" data-dir="right"></button>
-					<button type="button" class="button-link menus-move menus-move-top" data-dir="top"><?php _e( 'To the top' ); ?></button>
-				</fieldset>
+				<?php
+				/**
+				 * Let users add custom menu settings without overwriting the whole walker.
+				 *
+				 * @since 4.7.1
+				 *
+				 * @param object $item    Menu item data object.
+				 * @param int    $depth   Depth of menu item. Used for padding.
+				 * @param array  $classes Classnames for the menu item.
+				 */
+				do_action( 'admin_nav_menu_item_below_settings', $item, $depth, $classes );
+				?>
 
+				<p class="field-move hide-if-no-js description description-wide">
+					<label>
+						<span><?php _e( 'Move' ); ?></span>
+						<a href="#" class="menus-move menus-move-up" data-dir="up"><?php _e( 'Up one' ); ?></a>
+						<a href="#" class="menus-move menus-move-down" data-dir="down"><?php _e( 'Down one' ); ?></a>
+						<a href="#" class="menus-move menus-move-left" data-dir="left"></a>
+						<a href="#" class="menus-move menus-move-right" data-dir="right"></a>
+						<a href="#" class="menus-move menus-move-top" data-dir="top"><?php _e( 'To the top' ); ?></a>
+					</label>
+				</p>
+
 				<div class="menu-item-actions description-wide submitbox">
 					<?php if ( 'custom' != $item->type && $original_title !== false ) : ?>
 						<p class="link-to-original">