Atletico have so far avoided the Ligue 1 outfit, but the pair could still face off in the final, should they see off Arsenal and Red Bull Salzburg respectively in Thursday's semi-final second legs.
"They have a great atmosphere, Marseille is a city that lives for football. I wanted to play against Marseille in the last 16, quarter-finals or semi-finals to play at the Velodrome, but sometimes things don't go the way we want them to," Griezmann told 'L'Equipe'.
"I love the stadium, I really like the Marseille shirt and for me they're the best club in France," the French international continued.
"They're a team with a lot of confidence, that can and has to go through to the final. Let's see if we can also get through to play against them."
Atletico host Arsenal as they look to secure a place in the final, whilst Marseille make the trip to Austria to face Red Bull Salzburg.