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.
