The France international has been in superb form for Atletico this campaign, scoring 19 goals in 30 appearances in all competitions, and his fine performances have not gone unnoticed elsewhere.
Aside from PSG, Chelsea are also believed to be keeping an eye on his development, but the 24-year-old is in no rush to move on.
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"PSG? There are a lot of clubs I like, but ones I do not see myself playing for," Griezmann told L'Equipe .
"I am here at Atletico and enjoying La Liga. But what I can say is that if a club like Paris Saint-Germain are keeping tabs on you, that is proof that you are doing well.
"I think Barcelona, Real Madrid and Bayern Munich are the absolute top. After that, you have PSG.
"Atletico are not far away either. We will see who are the best.
"I do not have a plan for the future. When I started out at Real Sociedad, my goal was to break into the first team and play 10 or 15 minutes. After that, it was to put in a strong performance, and then two.
"When I first joined Atletico, I was not always playing and it was complicated. But I knew I could become an important player and worked hard.
"And I am not done yet. I know that I can still get better."