Earlier this summer Goal revealed the Red Devils had held talks with the Viola over signing the Colombia international and were confident of beating rival suitors Barcelona to an agreement worth up to £35 million.
Last week Fiorentina boss Vincenzo Montella insisted he has never contemplated losing Cuadrado this summer, telling La Nazione: “He’s been here in the past, he is here now and he will be here in the future."
But the player himself does not appear so confident of staying, though he admits any decision rests on Fiorentina reaching an agreement with an interested club.
When asked about the possibility of a transfer on the beach in Versilia, he replied: "My future does not depend on me, there is still time until the market closes, no? I don't know..."
United have already signed Luke Shaw, Ander Herrera and Marcos Rojo this summer and appear set to wrap up a British transfer-record deal for Real Madrid winger Angel Di Maria for an initial fee believed to be between £70m and £75m.