The Inter forward labelled the Juventus coach a "quaquaraqua" - Neapolitan slang for somebody who talks a lot but without any substance - and said Conte could not comment on his actions due to his own moral misgivings.
That accusation has forced the 43-year-old to issue a fierce defence of himself and deliver a damning verdict on the 30-year-old's latest outburst.
"I was astounded to read the statements from Mr Cassano, following which I am forced to make certain clarifying points,” he told the official Juventus website.
“First of all I never used the term morality, despite the fact I have it in spades. I have already expressed my opinion on the ban for failing to report match-fixing in the past.”
The former AC Milan man also claimed the Bianconeri only ever sign small players, with Conte insisting the club purchase those with specific professional characteristics - an area he says Cassano is lacking.
"When asked how I choose players for Juventus, I said we look to the man, by which I meant how he interprets the role of a footballer in a professional manner," he continued.
“That means effort, commitment, respecting the rules and the roles of others, plus caring about the common good of the team.
“I think that Mr Cassano has already shown many times over his career both on and off the field – such as his impressions of Fabio Capello at Real Madrid or insulting gestures at referee Roberto Rosetti and other incidents – that he does not have the requisite characteristics I am looking for."