Mazzarri was sacked by Inter last Friday.
"We're enthusiastic about Mancio," Fassone said.
"With Mazzarri there was a negative atmosphere which led to his dismissal, but he's still a good Coach and he'll soon find another job.
"Paying the salaries of two Coaches [Mancini and Mazzarri] weighs heavily on the balance sheet, and will affect what we do in the transfer market, but Mancini thinks our squad is one of excellent quality."
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