"It is with a heart full of memories that I am closing this chapter of my life," France vice-captain Griezmann, 33, wrote on X.
Both players had indicated their desire to participate in the Paris Games, but their Spanish clubs -- Real Madrid where Mbappe, 25, is set to play next season and Atletico for 33-year-old Griezmann -- have said they will not release them.
Antoine Griezmann secured Champions League qualification for Atletico Madrid with a hat-trick in a 3-0 triumph at Getafe on Wednesday in La Liga.
Antoine Griezmann scored twice as Diego Simeone's men moved to within four points of their opponents and pulled five clear of fifth-placed Athletic Bilbao in the race for Champions League qualification.
Antoine Griezmann said Atletico Madrid will have to "suffer" at Borussia Dortmund to reach the Champions League semi-finals.
Atletico Madrid are hoping Antoine Griezmann's injury is nothing more than a sprained ankle after the forward was substituted in their 1-0 defeat by Inter Milan in the first leg of their Champions League last-16 tie, manager Diego Simeone said.
Antoine Griezmann became Atletico Madrid's all-time standalone top goalscorer with 174 goals after netting against Real Madrid in the Spanish Super Cup semi-final on Wednesday.
Griezmann's superb header after 64 minutes split the teams, although visitors Mallorca spurned some good openings in the final stages.
Antoine Griezmann struck a hat-trick in a 3-0 win over 10-man Celta Vigo to help Atletico Madrid climb provisionally second, in hot pursuit of their city rivals.
Once the French have their hands on the coveted golden trophy, Griezmann grasp it and run down to fans behind the goal to show them the World Cup, before skipping back along the side of the pitch holding it aloft.
French forward Antoine Griezmann has always been an admirer of Uruguayan culture and previously stated he is half Uruguayan. But Uruguay striker Luis Suarez do not think so, as he says that on a press conference.
French striker Antoine Griezmann hits a hat-trick as Atletico Madrid thrash Sevilla 5-2 to cut the gap on La Liga leaders Barcelona back to seven points.
Barcelona are making moves to bring Atletico Madrid star Antoine Griezmann to the Catalan capital while Manchester City are eyeing Alexis Sanchez as clubs around Europe prepare for the January transfer window.
Atletico Madrid reported Barcelona to football's governing body FIFA over illegal contact made to star forward Antoine Griezmann, Atletico club sources confirm.
Atletico Madrid forward Antoine Griezmann apologises after receiving criticism on social media for posting a picture of himself on his official Twitter account dressed as a Harlem Globetrotter, covered in black paint and wearing a wig.
Antoine Griezmann ensure Malaga did not spoil Atletico Madrid's moving in party at their new 68,000 Wanda Metropolitano stadium with the only goal in a 1-0 win.
French star Antoine Griezmann extends his contract with Atletico Madrid by a year. Griezmann's contract now runs until June 30, 2022, and ends rumours linking him with a move away from Atletico.
Atletico Madrid’s Antoine Griezmann confirms that he would be staying at the club next season.
Manchester United have shown "concrete interest" in signing Atletico Madrid forward Antoine Griezmann, who has an exit clause of £85 million ($108.79 million), the Frenchman's agent Eric Olhats has said.