United manager, Jose Mourinho, has reportedly made the France international his number one target ahead of his second season in charge.
But Griezmann insists he is not looking to leave the La Liga club.
“I always get the same questions about my future and it is getting a bit tiresome,” Griezmann told La1.
“Like I always say, I am very happy here at Atletico and in Madrid.
“The weather is great, my team-mates are some of the best you can have and I am working with a great coach.
“So I am feeling very well here. I see no reason why I would want to leave.”
Griezmann has a contract with Atletico until June 2021.