"Hi, my name is________, I dropped off an application and I was wondering if you had the chance to look it over." They may tell you that you need to speak to the manager and if the manager is not in at the moment they'll tell you what times the manage is usually in, if the manager is there and they put you on the phone just say the same thing over. ;)
Just state your name, mention that you dropped off an application on whichever day it was, then tell them that you are just inquiring to see if they had a chance to look it over yet.
***I dropped off an application on_________ and I was....
