The 75-year-old has not disguised his ambition to sell the club in recent years after the Rosanero diced with relegation last term and languish four points adrift this season.
Zamparini has been notorious for his short fuse, constantly chopping and changing coach but maintains that he would only sell the club to capable owners in the right hands.
"Sure, I thought last year that we’d hit bottom, but we’re getting close to it this year," he told Radio Rai on Monday.
Zamparini says he would ideally like to increase Palermo's capital before selling the club but admits the economic outlook is bleak.
He cited Chelsea in the Premier League as an example of how a takeover can transform the landscape and says "we've seen many more important families than mine sell clubs".
Praises De Zerbi
The veteran admitted he felt "dejected" after his side's slender 2-1 defeat to Milan on Sunday, stating that he "didn't see a 20-point difference" between his side and the Rossoneri.
Gianluca Lapadula netted the winner with a deft flick eight minutes from time to condemn the Sicialians to a fifth straight defeat, having last tasted victory on the road against Atalanta on 21 September.
He also conceded that Roberto De Zerbi is an inexperienced coach who should be given time to settle after arriving with the Serie A season only two games old.
"I’m a fan of his. He’s paying for his lack of inexperience, but after the break we’ll be competitive," added the President.
Palermo travel to Bologna, themselves only six points clear of the proverbial dotted line, once domestic action resumes after the international break.