I found a solution few days a go, so may it help someone, the problem I had was was the function to call the menu wp_get_menu_array(), there I had to add the description in the sub menu:
/**
* Get a simple array of menu mapped, including the submenus
*
* @param array $current_menu Argument where you send the slug of the menu that you want to map.
* @return array returns a simple array with the information.
*/
function wp_get_menu_array($current_menu) {
$array_menu = wp_get_nav_menu_items($current_menu);
$menu = array();
foreach ($array_menu as $m) {
if (empty($m->menu_item_parent)) {
$menu[$m->ID] = array();
$menu[$m->ID]['ID'] = $m->ID;
$menu[$m->ID]['title'] = $m->title;
$menu[$m->ID]['url'] = $m->url;
$menu[$m->ID]['classes'] = $m->classes;
$menu[$m->ID]['description'] = $m->description;
$menu[$m->ID]['children'] = array();
}
}
$submenu = array();
foreach ($array_menu as $m) {
if ($m->menu_item_parent) {
$submenu[$m->ID] = array();
$submenu[$m->ID]['ID'] = $m->ID;
$submenu[$m->ID]['title'] = $m->title;
$submenu[$m->ID]['url'] = $m->url;
$submenu[$m->ID]['description'] = $m->description; //Line added;
$menu[$m->menu_item_parent]['children'][$m->ID] = $submenu[$m->ID];
}
}
return $menu;
}