Griezmann has been linked with Bayern Munich in recent days.
And ahead of their Champions League clash with Borussia Dortmund, the Frenchman said: "At the moment I feel very well in Spain and enjoy it very much. I know everything almost completely here: I know how the opponents play, and believe that I am right here.
"I extended my contract last summer, we have a nice project here, with which I identify myself 100 percent. I want to help the club grow as it helps me grow. And we want to create history.
Whether a move to the Bundesliga is possible, he added, "That could be, but I feel very comfortable here with Atlético."