Can I sue for slander?

I was working for a hotel, and was mysteriously taken off the schedule without reason or any explination at all. I just found out that I was accused of stealing money from the payroll department. A co-worker apparently said they heard me say that I was going to steal the money (which I never did) Can I sue for slander? Or sue in any way? My name is now ruined and I surely cant use them as a reference, and I am now without a job because of it.