Player is happy at Atletico, says president Enrique Cerezo, as he laughs off talk of a move to Manchester United.
Forward has no desire to play in France, but could be tempted by England.
Griezmann named La Liga's player of the year on a night of triumph for Atletico.
The 2015-16 season saw Antoine Griezmann cement his place in football's upper echelons.
Griezmann has netted 32 times this season and will be hoping to continue in the Champions League final
New deal in the offing for a player expected to be Europe's next superstar.
Atletico Madrid's Antoine Griezmann is expected to be one of the stars of this summer's Euro 2016 finals.