The Sicilian club chief has said the Italy international is free to decided whether he wants to stay or leave to the Ligue 1 outfit, who have shown an interest
The Italy international, 29, has been linked with a move to Ligue 1 since the summer.
Reports have claimed Balzaretti wants to move to France to be closer to his fiancee, who works at the Paris opera.
Palermo have good relations with PSG having sold Javier Pastore and Salvatore Sirigu to them during the last transfer window, and there will be no issues over Balzaretti.
"Balzaretti is like my son and so the choice is his. Palermo will not stand in his way," Zamparini told the press.
"I want him to stay, but I will understand it if he wants to be closer to his family."
Balzaretti's deal in Sicily expires in 2013 and Palermo take on his former club Juventus on Sunday afternoon.
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