Parker, the ex-husband of Eva Longoria, suffered a scratched cornea when he was a bystander as a fight broke out between Brown and Drake's entourages at the W.i.P. nightclub on June 13.
The NBA star was scheduled to compete in the upcoming Olympics on the French national basketball team, but he has been unable to practice with them since the injury.
Parker sat for an interview published on his official website on Monday (June 25), where he said he is not yet confident he will be able to play in France's game against the US on July 29.
"I almost lost my eye… I'm seeing a specialist in New York with the hope of being given the all clear to play in the Olympic Games," Parker said. "[The San Antonio] Spurs are very worried. Anything can happen, including me being out of the Olympics. The decision doesn't belong to me anymore. It's in the hands of the doctor and San Antonio."
Parker also disclosed that he's been forced to apply five different medical products to his eye every two hours and claimed he's suffered hallucinations as well.
"Fear sets in… An eye is so fragile... I couldn't believe it. But that's life. I was in the wrong place at the wrong time," he said.
"I didn't have luck, but I came out well from my misfortune. It could have been worse. The rest of my career is not in question. I just have to wait for the injury to heal itself."
Parker has filed a $20m (£12.8m) lawsuit against the W.i.P. nightclub and is accusing the staff of acting negligently.
W.i.P. is currently in danger of being shut down by New York's State Liquor Association (SLA) for 13 code violations.