The 26-year-old has been a vital player for his Italian club during the 2022-23 campaign, featuring on 39 occasions in all competitions, including 25 appearances in Serie A.
Amrabat was also in excellent form for Morocco at the 2022 World Cup, playing seven times in Qatar, with his national team reaching the semi-finals of the competition.
Barcelona were heavily linked with him in January, but the midfielder ultimately remained with his Italian club beyond the end of the transfer window.
Sinouh has said that both Barcelona and Manchester United failed with winter offers, but Amrabat will be available for transfer at the end of the campaign.
"For now we don't have any offer for the summer, but Fiorentina are willing to listen", Mundo Deportivo quotes Sinouh as saying. "It's a promise they made when the president rejected winter offers.
"We received many offers in January, including ones from Manchester United and Barca, but an agreement could not be reached. The Fiorentina president refused to sell, because he represented a strong value after the World Cup."
Last month, the Moroccan's brother Nordin Amrabat said that Barcelona failed with a January move as the Catalan club were unable to include "a mandatory purchase option" in the deal.
"Barca made a loan offer for Sofyan two or three days before the market closed, but they weren't able to include a mandatory purchase option and that was it", he told ESPN.
"Sofyan really wanted to go to Barca, and he hoped the move could happen, because Barca offered a good rate for the loan, but Fiorentina didn't let him go.
"If Barca show up, you want to make that move. And if Barca don't buy you, someone else will."
Fiorentina are not in a strong position when it comes to the midfielder's future, with his current deal due to expire in the summer of 2024.
Amrabat made the move to his Italian club from Club Brugge in 2020, and he has represented them on 97 occasions in all competitions, scoring once.
The Moroccan has also played for FC Utrecht, Feyenoord and Hellas Verona during his professional career.