The veteran midfielder is a free agent after leaving AC Milan and has been linked with a move to the MLS.
West Ham have also been in talks with Ambrosini, according to his agent, but he has yet to make a decision on his future and could consider staying in Italy.
At a press conference on Friday, the 36-year-old said of the link to Fiorentina, who will be playing in next season's Europa League: "They are a great club and are coached by a great coach [Vincenzo Montella] with a really serious and intriguing project.
"If they would call me, I would gladly hear what they have to offer to me".
Ambrosini is adamant, though, he will not be thinking about retiring after Milan opted not to give him a new contract.
He said: "It is not up to me to say whether the club's decision is right or wrong. It is not a shocking thing - I am 36.
"I have given so much and AC Milan have the right to make a decision like that. I might have liked it if they had communicated it differently and earlier. I know I still want to be a player."