Griezmann is again being linked with Barca - 12 months after turning them down.
And Lizarazu says: "Would the public have another look at Griezmann if he was playing in Barcelona? Possibly.
"He is in a team that plays football that does not show off offensive talent. And as Griezmann is the star of Atlético and the best player, he suffers inevitably.
"His talent is less emphasised. It's up to him to go to Barça and we'll see you later (laughs). In any case, this deserves much more consideration."