The France superstar established himself as the best player of Atletico Madrid for so many years following a move to the Rojiblancos from La Liga rivals Real Sociedad in the summer of 2014.
Despite winning three trophies during his time in Madrid, Griezmann was yearning for more laurels so he eventually moved to Barcelona in 2019.
A move to win the league and Champions League has not gone as planned as the 2014 World Cup winner is yet to adapt to life at Camp Nou.
Futre believes Griezmann is under the shadow of Lionel Messi, insisting no player would overpower the control the Argentine has in Barcelona.
“I understand Griezmann’s move because he was trying to win the Champions League with Barca,” Futre told Catalunya Radio.
“I think he left to win much more, he must have thought it would be more likely.
“But we all know that at Barca first is Messi, Messi, Messi… 50 Messis. After [Luis] Suarez, [Gerard] Pique and Griezmann came fourth or fifth [last season].
“If Barca wins the Champions League, the newspaper covers will always be for Messi.
“If Griezmann had not left Atletico, he would have been a legend, more than me. But I knew that this would happen, that he would have problems adapting. At Atletico, Greizmann was God. At Barca, he can be a duke or a count.”
Griezmann has scored 17 times in 57 appearances for the Catalan giants.
