Respectfully disagree. This is a guy you want on the field as much as possible to stretch the field for Moulds and Evans, as well as to provide yet another reverse threat. Plus the article in this morning's D&C quoted, I think, Willis as saying that Parrish has one of the best arms on the team. Not too far-fetched to imagine him posing the same kind of threat in that department as Antwaan Randle El.
I can't imagine any reasonable scenario in which he WON'T be the third wideout. Even if his hand is still dinged, put him out there and make defenses think.