The highly-rated forward has impressed for Atletico Madrid since joining the club from Real Sociedad in 2014.
Griezmann told Radio Monte Carlo: “[My career], in this moment, passes through trying to go as far as possible in the Champions League and winning the European Championship.
“I only think about that and I have no desire to leave Atletico.”
The 24-year-old has recently been linked with the likes of Manchester United, Chelsea, Arsenal and Bayern Munich.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.