The Guadeloupe-born attacker joined Monaco from Caen ahead of the 2015-16 season, and eventually established himself as one of Ligue 1's best left-sided players.
And amid speculation linking him with a move away from the Wanda Metropolitano, Griezmann called a press conference yesterday while on World Cup duty with France to reveal he has reached a decision.
"We understand there won't be easy matches at the World Cup for us", the Atletico Madrid star told French sports daily L'Equipe.
Atletico Madrid have announced they have made an agreement in principle with Monaco to sign midfielder Thomas Lemar.
The 22-year-old France worldwide has been subject of interest from Arsenal and Liverpool among others, but he now appears destined for a move to La Liga.
Both Barcelona and Manchester United have expressed interest in the forward, who has a release clause of €200m.
"I am very sorry, I know you have all been waiting but I will not give my decision today".
Last summer came his most recent extension, when he added another year to take him up to 2022.
He made his France debut in 2016 and has scored three goals in 12 global games.