Manchester United have been strongly linked with an end-of-season move for the France international, with Jose Mourinho short-listing the 26-year-old as the marquee signing to bring the Red Devils back to the upper echelons of European football.
According to reports in the British media, Mourinho has been given the green-light to sanction an £86 million move, which will trigger the former Real Sociedad forward's release clause.
Nonetheless, the transfer will depend on Griezmann's willingness to arrive at Old Trafford, which looks unlikely after his latest comments.
"I do not want to leave Atletico (whether for) Paris, China, USA, Russia or elsewhere," he told Telefoot.
"My future? I only care about the field, I feel good in Madrid, why should I change that?"
Griezmann has scored 79 goals in 147 games for Diego Simeone's side since making a £24 million move from La Real in 2014.