The French veteran has extended his deal by 12 months, so keeping him with Atleti until 2027.
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Now 34, Griezmann said: "I am very happy, happy and proud.
"I am grateful for all the affection that the fans show me, from the youngest to the oldest. They help me to be a better player. I appreciate them a lot.
"We still have years to enjoy ourselves and continue to write history together."
Last season, Griezmann scored 16 goals and made 9 assists in 53 games in all competitions.