The Frenchman scored 32 goals for Atletico last season in all competitions. And then went on to score six goals for France at the Euro 2016.
The forward was reportedly the subject of interest from a number of Premier League clubs as well as Ligue 1 champions Paris Saint-Germain.
However, Griezmann insists he never had any intention of seeking a departure from the LaLiga club.
“I have always been clear with my agents: I have no intention of leaving Atletico, Cholo [Simeone] or my team-mates,” he told La Gazzetta dello Sport.
“I really want and hope to win something with Atletico.”
And Griezmann has also vowed to bounce back from defeats in the finals of both the Champions League and Euro 2016.
“It was a very good year for me both personally and as part of the team, despite losing in two finals,” he said.
“I’m sure that both me and my teams will come back even stronger.”