Moratti, widely criticised for his handling of the Italian club since Jose Mourinho's departure at the end of the 2009/10 season, also took a swipe at forward Diego Forlan.
He then described Claudio Ranieri, who parted company with the Serie A club on Monday after six months as coach, as a gentleman and named eccentric Athletic Bilbao coach Marcelo Bielsa as a possible long-term replacement.
"I'm not at all satisfied with Gasperini," Moratti was widely quoted as saying on a number of Italian websites including Gazzetta dello Sport and Corriere dello Sport.
"The blame for this disaster of a season lies with him, he has spoiled everything, he was continually complaining about the players, it was really bad."
"Forlan hasn't played very often but when he has been on the pitch, he has played badly and failed to meet expectations," he said.
"I've always spoken well of Bielsa, he's very well prepared and very entertaining," he said of the former Argentina and Chile coach. "But I speak well of a lot of coaches."
Stramaccioni is Moratti's fifth coach since Mourinho's departure, with the list also including Rafael Benitez and Leonardo.
Inter have been criticised for signing Forlan while apparently unaware that he was ineligible to play in this season's Champions League group stages.
