The Colombian winger has been strongly linked with a move to the Barclays Premier League??leaders in this window and has a buy-out clause set at ??26.8million.
Chelsea have reportedly offered ??20m to acquire the Colombian, who is tied to the Serie A club until June 2019.
When asked about the English club’s interest in Cuadrado, Della Valle told the club’s official website: “The buy-out clause is there. We put it high in order to keep him.
“I hope he will stay with us for a long time.”
Cuadrado was one of the stand-out players alongside James Rodriguez for Colombia in last year’s World Cup in Brazil.
The 26-year-old joined Fiorentina in 2012 from Udinese and has been ever-present in Vincenzo Montella’s side since.
Cuadrado has scored four goals and set up four more in 16 league appearances for Fiorentina this season.
Cuadrado started in Sunday’s 1-1 draw against Roma that lifted the Florence outfit to sixth in the Serie A table.
Fiorentina have qualified for the quarter-finals of the Coppa Italia and will take on Tottenham in the last 32 of the Europa League next month.