The forward is now on global duty with France at the World Cup, and they get their campaign underway against Australia on Saturday.
The forward has been with Atletico since 2014 and last season helped the team to lift the Europa League, scoring 29 goals in all competition for Diego Simeone's side.
"I have made a decision to stay", said Griezmann.
@BarcaWorldwide wrote: "Griezmann is the kind of guy who'd sit on a cactus just for attention".
In another signal of their intent to compete for the title in La Liga next season, Atletico signed defender Jose Maria Gimenez, linked recently with Real Madrid and Manchester United, to a contract tying him to the club through 2022-23.
"But it is not bad luck, something has been missing, and in the league we are always second or third, we are missing something".
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"If they [Atleti] buy good players we can win the Champions League here and enter the history of the club".
"It's a mess, you have to think it over".
After months of speculation, Antoine Griezmann has finally come to a decision on his club future.
"I went home very affected and my family too, I did not understand why they bust me. He has cooled me because it was very hot".
'Atletico are doing everything they can to keep the team growing; it's wonderful, they're making a lot of efforts, I cannot stand it, I need to tell people that I want to stay.' Griezmann added. "This is going to make a difference".
Earlier this week, Atletico announced a deal in principle to sign Griezmann's France global teammate Thomas Lemar from Monaco for a reported €60 million transfer fee as part of an effort to persuade him to remain at the club.