The chief has reacted to the 21-year-old's decision to call time at the Barbera and appears ready to listen to offers, saying it may be best for him to go now rather than stay
Pastore revealed it was 'time to leave Palermo' on Friday following weeks of speculation over his future, despite his deal in Sicily running until 2015.
Zamparini has been erratic when asked to give an exact asking price for the 21-year-old in the past, with values between £30-45 million often being quoted, but he is ready to negotiate with interested clubs after admitting he is prepared to lose 'El Flaco'.
"I am almost resigned [to losing him]. More than me, he speaks with his agent and there are big clubs who want him," he told the press.
"I don't feel offended. It's logical that at the maximum he could have stayed on for another season, but at the same time if he stayed then he would be under more pressure, and we would not see the same Pastore."
Speaking on his expectations when it comes to listening to offers, Zamparini said: "I have stated his value many times before. Consider I paid €19m (£17.5m) for him when he was 18.
"The offers will likely arrive via his agent [Marcelo Simonian]."
Napoli and Real Madrid were the latest clubs rumoured to keen on the playmaker after Roma, Barcelona, Chelsea, AC Milan and Manchester United had all been previously credited with an interest.
"I think he is out of budget for our friend [Napoli president Aurelio] De Laurentiis. It's difficult for Italian clubs," added Zamparini.
"Spanish football is better for players like Pastore. Real Madrid? They will only get him if Kaka leaves."
Kaka, though, is unlikely to depart from the Bernabeu after stating many times he wants to stay and prove himself under Jose Mourinho.