The Italy international scored seven goals in 28 Serie A appearances last term, but struggled to nail down a regular starting berth under Andrea Stramaccioni in his first season at the Giuseppe Meazza.
The 30-year-old claimed that Mazzarri forced him out of the Nerazzurri squad this summer as he was not in the new coach's first-team plans, while making it obvious that there was no love lost between himself and ex-Inter boss Stramaccioni.
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"He pushed me to go away. I went away because I could not return to Inter in his plans. Everyone must be aware that when you have Antonio, it is for better or worse. Throughout my career I have achieved 30-40 per cent of what I was capable of.
"With the [Inter] players I had a wonderful relationship, I leave behind many friends, they told me that they will miss me, and I even saw the president.
"Stramaccioni, on the other hand, I have nothing to say about."
Mazzarri, however, has disputed the forward's version of events and insists that he is yet to speak to the squad properly as pre-season has not begun at the Serie A side.
"I wanted to set the record straight following statements made by Antonio Cassano during his press conference at Parma this afternoon," read a statement on Inter's website.
"What I said to the club is exactly what I said when I held my press conference in Appiano Gentile. I haven’t spoken to or about the players since then because I was waiting for the start of the season.
"I don’t see how I can have decided who my first-choice players and squad players are before I’ve even had the chance to coach them.
"I’d like to put on record that the last time I spoke to Cassano was at the Inter-Napoli match in the first half of last season. On that occasion I just said hello to him on the pitch."
Cassano, who has signed a three-year deal with Parma for an undisclosed fee, will wear the No.99 at the Tardini.