The 28-year-old has two years left on his current contract with the Italian side.
Gilardino told Sky Sport Italia: “I would like to stay in Florence, but there are some things to review, such as the contract.
“We have to talk to the club, because I’m worth a substantial figure. I love Florence, but there are some things to evaluate.
“If I leave Fiorentina, I would prefer to stay in Italy. But in future I would like an experience abroad, perhaps in Spain or England.”
