In an interview with Italian publication Calcio Mercato, Wessel Weezenberg revealed that the Serie 'A' giants had been in touch with regards to bringing the Dutchman to Stadio Artemio Franchi in the summer.
"We talked and we're still talking with Fiorentina and I can say they are the Italian club that has moved more concretely," he said. "But Jordy has a contract with Feyenoord so Fiorentina need to reach an agreement with them.
"I know that the two clubs have spoken, but the Dutch leadership decided to postpone any market discussion at the end of the season."
Gunners boss Arsene Wenger is a long-term admirer of the 21-year-old - who has been likened in playing style to Barcelona's midfield maestro Xavi Hernandez - and is reportedly keen to take Clasie to the Emirates Stadium.
However, Arsenal face further competition - not just from Fiorentina - for the player's signature, with north London rivals Tottenham also plotting a bid, as Andre Villas-Boas looks to lure him to White Hart Lane.
And, to make matters even worse, the Daily Express reported earlier this week that Manchester United had joined the race for Clasie, after he caught the eye of Old Trafford chief Sir Alex Ferguson following a series of standout performances in the Eredivisie this season.
Despite interest from a trio of Premier League clubs, the Holland international looks most likely to move to Italy if he does leave Feyenoord, after Clasie's representative hinted that Tuscany would be an ideal destination.
"The Fiorentina project is very interesting, with a game style that would be ideal for Clasie's technical characteristics," Weezenberg added. "The renewal with Feyenoord? At the moment we're not talking about it."