Parker was inside club W.i.P in NYC Wednesday night when the bottle and the fists began to fly.
Parker addressed the media today and said he got some shards of glass in his eye during the melee.
"I was there with a bunch of friends when a fight broke out. They started to throw bottles about. I got it all."
Parker continued, "The cornea has been touched. I can't do anything for seven days. But I was lucky. The injury won't prevent me from competing in the Olympics in any way."
FYI -- Parker was scheduled to join the French Olympic team on June 20.