The Games begin July 27.
Parker was given the go-ahead to play by the Spurs medical staff, a report from the French Basketball Federation said.
Parker, who led the Spurs with an 18.3-points-per game average this season, was injured by flying glass during a fight involving entertainers at a New York city nightclub.
The player later sued the club, alleging it was negligent in its security.
2014: The Year in Music [PHOTOS]