The Argentina international, valued at 50million euros, is set to leave the Serie A outfit this summer and is a reported target of Chelsea, Manchester City and Roma.
"For Pastore's transfer we will not accept player-exchange deals," said Zamparini.
"For me and for Pastore's agent, the only valid ones are cash offers.
"On Tuesday we will look with Pastore's agent at the concrete offers we have.
"I believe we are in the final stretch of his transfer."
Pastore is under contract with Palermo until June 2015.
The South American star joined Palermo in 2009 from Huracan for 19million euros and was the team's leading scorer in Serie A last season with 11 goals.
Source: Team Talk
Source: Team Talk