"The French International is concentrated with his national team in Russian Federation to play the 2018 FIFA World Cup that will take place the next Thursday, 14th of July".
Griezmann worked actively to bring Lemar to Atletico and is excited to play with him, sources said before the agreement was announced.
Earlier on Tuesday, Griezmann said he has made a decision on his future but refused to clarify where he will play next season when speaking to reporters at France's World Cup camp in Russian Federation.
Lemar was strongly linked with both Liverpool and Arsenal last season but is now set for a move to the Wanda Metropolitano.
The 22-year-old has notched 18 assists in 64 appearances for the club, helping to add even more creativity to an already talented front line at Atletico.
Deschamps prohibits players from undergoing negotiations during tournaments, which provides a further reason to believe that Griezmann's future will be public knowledge before France begin the competition.
Griezmann insists he is made a decision on his club future but has refused to reveal if he will remain with Atletico next season.
However, at a France press conference on Tuesday afternoon, he declined to give an update on his future intentions.
The forward said it "wasn't the time nor the place" to explain where he would be playing next season.