"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.
Antoine Griezmann's second-half strike was enough for under-par Atletico Madrid to beat Espanyol 1-0 on Saturday, tightening their grip on third place in La Liga.
Antoine Griezmann's penalty hands Atletico Madrid a slender 1-0 advantage over Leicester City.
Antoine Griezmann's classy finish five minutes from time dealt Real Madrid's La Liga title chances a huge blow as Atletico Madrid rescued a 1-1 draw at the Santiago Bernabeu.
Propelled by an on-fire Antoine Griezmann, Atletico Madrid stand on the brink of a fourth consecutive Champions League quarter-final, determined to finally end their tag as Europe's nearly men.
Atletico Madrid beat hosts Bayer Leverkusen 4-2 in a topsy-turvy encounter to take a firm handle on their Champions League round-of-16 tie ahead of the return leg in Spain next month.
Atletico Madrid will have to win at Barcelona's Nou Camp for the first time in a decade on Tuesday if they are to reach the King's Cup final.
Antoine Griezmann struck for the third time in as many games in 2017 as Atletico Madrid secured their place in the quarter-finals of the Copa del Rey 4-3 on aggregate despite losing 3-2 at home to Las Palmas on Tuesday.
Cristiano Ronaldo won his fourth Ballon d'Or on Monday to get one over his nemesis Lionel Messi in their long-running duel for the title of best footballer on the planet.
Cristiano Ronaldo won his fourth Ballon d'Or on Monday to get one over his nemesis Lionel Messi in their long-running duel for the title of best footballer on the planet.
Atletico Madrid got back to winning ways and moved back into La Liga's top four as goals from Diego Godin, Kevin Gameiro and Yannick Carrasco ensured a 3-0 win at Osasuna on Sunday.