I see. I was kind of worried about picking at mine. It's supposed to be a new controller, but with the way people abuse pads, I've seen some which are in terrible shape. But that's the original layer, so if you peeled it off it would be all sticky and junk.
The reason it's so hard to tell is because the stick the plastic on so perfectly, there doesn't seem to be any area to grab to pull it off. Just use a razor blade or something?