Well, that's a bit of a funny one. Firstly, put/call parity for European options holds, unless you're very very close to expiry, where things can get disorderly. For American options, put/call parity isn't really supposed to hold fully in the first place, so hard to generalize.
Again, not entirely sure what phenomenon you're trying to investigate here. Is it the various pin-related market effects that occur very close to expiry? Or is it the general tendency of the price of the underlying to gravitate towards certain strikes (that was what I originally thought you meant)?