Atletico Madrid star Griezmann is reportedly Jose Mourinho’s top target for 2017.
Griezmann put Manchester United on alert by ditching his agent and hinting he could leave Atletico should boss Diego Simeone move on.
And the 25-year-old has given United encouragement in their pursuit of him by admitting he looks out for their results because of Pogba.
“We get on very well,” Griezmann told French newspaper L’Equipe.
“It is true that Euros has brought us closer together still. Paul is a really nice guy. He is it!
“We send messages, Snapchats. He’s really a good friend… when he plays with his club, I try to look at it to see if he had a good game or not.”
Griezmann and Pogba grew close during France’s run to the final of Euro 2016, where they lost in extra-time to Portugal.
Both players were criticised for their performance in France’s opening 2-1 victory over Romania - with Dimitri Payet’s winner scored after the duo were taken off.
"Pogba and I were brought closer by the French press," Griezmann said last month.
"Criticism after the Romania game made us friends… Pogba with the ball is a genius."