Preziosi said that if clubs were to make hefty bids for his players, he would have no other choice but to consider the offers.
There are currently several Genoa players attracting interest from other clubs with Milito the most likely to make the move to Tottenham.
"Many teams want them, but we want to keep them," Preziosi told the Italian press.
"Thiago Motta has signed a contract, but if a team offer him three times his current wages, I can't do anything.
"It's the same for Milito."