Montolivo is off contract in June and Fiorentina are expected to seek a sale when the winter market opens.
Parretti told TMW: "Generally, in January there are few big transfers.
"Notwithstanding that, for example, Montolivo could go so that Fiorentina does not lose him for nothing.
"I think Montolivo wants to give 100 per cent, but cannot for the situation that has arisen. And don't forget other shores, for example, Paris would be a nice thing ..."