The Colombia star has scored on 28 occasions during his 33 appearances this season, heavily contributing to Atleti's third-place finish as well as the club's Copa del Rey final triumph over Real Madrid.
Marin revealed that Falcao has been given the green light to decide over his future, amid speculation linking him with Premier League duo Chelsea and Manchester City as well as Ligue 1 financial behemoth Monaco.
"Before the start of the season, we spoke with Falcao," Marin told reporters in Singapore. "We promised if he helps us to qualify for the Champions League, Atletico will support all his decisions."
Atletico currently enjoys a 10-point cushion over fourth-placed Real Sociedad ahead of the final two Liga matches this season, ensuring participation in next season's elite European cup competition.