"Używam mężczyzny" or "używam mężczyznę".
IME there are some verbs which are supposed to have objects in the genetive case (dopełniacz - kogo czego) but which, in common, informal everyday usage often appear with the accusative (biernik, kogo co) instead...
potrzebować and używać are among those (though I've even heard szukać with the accusative a time or three).
So 'używam mężczyzny' is more 'correct' but not necessarily more common in everyday speech.