The Brazilian defender was carried off on a stretcher during the surprise 1-0 defeat and is due to undergo a scan to determine the extent of the injury.
But in the meantime Lyon boss Alain Perrin is said to be a big admirer of Heinze, who is desperate to leave Old Trafford and is a target for Liverpool.
With United manager Sir Alex Ferguson having underlined he does not want to let the Argentina international join one their arch rivals, the case will be heard by a Premier League arbitration panel next week.
