Fiorentina president Andrea Della Valle accepts David Pizarro is considering his future.
The midfielder is weighing up leaving this summer.
“Pizarro was one of the most disappointed on Sunday night. We have to understand what happened in his mind over the last few weeks," said ADV.
“I hope nobody wants to leave here because they feel there’s no way to win due to other factors. Next season, seeing this squad, I hope we can raise the bar and no longer see the Champions League as utopia."