So as they head into Wednesday night's final in Lyon, there is reason for cautious optimism in Marseille that they can win their first European trophy since their Champions League victory in 2003.
"They have the experience but we've studied our opponents and we'll know how to take them on", he added.
While Atletico are determined to justify their status as favourites, Griezmann's future has dominated the build-up and he is widely expected to move to Spanish LaLiga champions Barcelona at the end of this campaign. "The more he's scrapping, the better he plays", Griezmann says. "It is going to be hard".
However, the club's biggest moment was tainted after it was alleged that players from struggling Valenciennes - who played Marseille the week before the Milan clash - had been asked by then-OM president Bernard Tapie to "go easy" in order to reduce the risk of his players picking up an injury.
Atletico have already assured themselves of a place in next season's Champions League by finishing in the top four in La Liga, but Marseille, now in the Europa League spot in Ligue 1 with one game remaining, would guarantee their passage by winning the final.
The France worldwide has been Atletico's top scorer in every season since joining from Real Sociedad in 2014, but a constant stream of transfer stories linking him with clubs from Manchester United to rivals Real Madrid has led to him being booed by his own supporters this season.
"Football has given me the opportunity to return to Atletico and fight for titles as a player, and achieving the Europa League trophy would be something special without a doubt", the footballer explained in a question and answer session with Euromision.
He said: "They can play in different ways". Both teams are very pragmatic and play a similar style. "It's not going to be about looking good and playing handsome football, we will have to be efficient and ensure that one goal is enough".
"Those who won the Champions League in 1993 are still heroes because nobody else has done it since", Dimitri Payet told uefa.com. "We're lucky to be at Marseille, a club which has a fantastic love affair with Europe dating back to the 1990s". We all want to follow in the footsteps of our predecessors. It will be very hard though.