"Hi my name is xxx i recently filled out an application form online for a (insert position), and was wondering if you have had chance to look over it yet?"

Wait 2 -3 days after you submit your application and then call.

EDIT

With places like walmart, target etc. They receive hundreds of applications and its a very slim chance you will get a reply back.

I would print out a bunch of resumes, and walk into places ask for jobs and hand out your resume. Try smaller shops, they are more likley to interview you than massive chains.