On the eve of yesterday's Madrid derby, the French forward was linked with a switch to the Bernabeu.
The 26-year-old then had a major impact on the game with a late equaliser.
The Atletico Madrid ace is set to be one of the most coveted players in European football this summer.
Antoine Griezmann's next club
Wed, April 5, 2017
Which club is favourite to sign Atletico Madrid ace Antoine Griezmann?
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Which clubs are tipped to sign Atletico Madrid ace Antoine Griezmann?
Manchester United, Chelsea and Barcelona are all said to be interested in Griezmann.
But Griezmann may have opened the door to a switch to bitter rivals Real.
He said: “I am at Atletico and I feel good, to speak of Real today would not be very good in relation to the Atleti fans.
Antoine Griezmann celebrates with his team mate Angel Correa after scoring against Real Madrid
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"Do I want to go there? If I respond with yes or no I put myself in sh**.
"The jump from Atleti to Real only happens very rarely and is very difficult.
"But you never know what can happen in the future. My advisor, Eric Olhats, receives calls and communicates with me. So, I am not ruling anything out.”