Tunisia defeated France 1-0. However, with Australia recording a 1-0 victory over Denmark in the other match in Group D, Tunisia’s hopes of progressing had been dashed before Griezmann’s goal was ruled out.
“It’s mixed feelings because we’re happy to beat a team like France,” said Tunisia manager Jalel Kadri.
“We can be proud and leave with our head high, but it is a bitter victory.
“It would have been beautiful to beat France and reach the last 16. It is our fault for not doing what we needed to do before.”
France are through to the last 16 as group winners having already secured qualification with victory over Denmark in the last game.
Despite their failure to progress, Tunisia captain Khazi produced the moment fans had been waiting for – a goal at this World Cup – when he drove to the edge of the box and coolly rolled it into the bottom right corner.
There was an outpouring of emotion from a large following of Tunisia fans at the stadium, while Tunisian substitutes sprinted onto the pitch in a moment of pure elation.
But their celebrations were shortlived when news of Australia’s lead began to ripple through the stadium, with supporters checking their phones for updates from the other match in Group D.
France, who were much-changed from their 2-1 win over Denmark having already qualified as group winners, lacked quality in a disappointing performance.
Paris St-Germain forward Kylian Mbappe and Atletico Madrid’s Griezmann were brought on later in the second half to try and find a way back into the game.
They had an impact despite loud jeers and whistling from Tunisia fans keen to put them off and Griezmann almost provided the goal they craved.
Didier Deschamps’ will face Group C runners-up Poland in the last 16 on Sunday, 4 December (15:00 GMT).
Tunisia’s wait to reach the knockout stages of the World Cup for the first time continues as they exit the competition.