Is there any way I can get the menu link for admins?
http://codex.wordpress.org/Function_Reference/edit_post_link
Similarly to the edit_post_link() that returns the edit link for loggedin Admins
I would like to do something similar for the edit menu if there is anything like that?
You can use
admin_url('nav-menus.php');This function can be used to get url’s for any admin screen, please check out the codex for more information http://codex.wordpress.org/Function_Reference/admin_url