The Atletico Madrid striker has claimed that the weather and media in Britain puts him off joining an English club.
"I have a lot of doubts about moving to England," he told RMC.
"With Real Sociedad, I felt that I needed to leave. For the moment, I do not know where that desire came from. Who knows how the season will finish. If it finishes badly, maybe I will ask myself the question. For the moment, it is not relevant.
"Aside from that, I am asking myself where I could go. In Spain, there is Barcelona and Real Madrid. Barcelona have the three up top. Real Madrid, that is impossible because of the club I am at. I think that between them, there is a pact.
"Germany, the league does not attract me much. France, not for the moment. And England, I have a lot of doubts about my private life. Everything like rain, bad weather... I need to feel happy outside."
Previous reports suggest that United are expected to land Griezmann in the summer, although Atletico president Enrique Cerezo has since refuted such speculation.