The ball was deflected by a Tunisian defender into the path of Griezmann, who was onside at that point, but the effort was disallowed and Tunisia won the game 1-0.
“We are writing a complaint after Antoine Griezmann's goal was, in our opinion, wrongly disallowed. This complaint has to be filed within 24 hours after the final whistle,” the FFF said in a statement.
Tunisia were eliminated from the tournament despite their win while France advanced top of Group D into the last-16 and they will face Poland on Sunday.
The FFF did not specify whether the complaint was over the goal itself or the fact it was ruled out after the final whistle.
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