"Zinedine Zidane is a legend and football icon and Griezmann is on his way to becoming one too," he told a press conference.
"He's a very loved person in France, on the pitch he shows he's a big guy, and I want him to score a goal in the final on Sunday."
On the World Cup final, Pogba added: "I don't know if Croatia has a disadvantage [due to tiredness], but against England they never surrendered.
"[In the 2016 Euros] we thought it was done and that we had won the trophy by beating Germany in the semi-finals.
"This time we don't want to make that mistake and we will approach the game differently."