The former Napoli boss has hailed his own role in the prolific attacker's rise to prominence and is confident he will succeed in his new post at Inter
The Uruguay international, 26, joined the Partenopei from Palermo in the summer of 2010 and has since developed into one of the most sought-after players in Europe, with Paris Saint-Germain ready to pay €63 million [£54m] for his services.
Nevertheless, Mazzarri has insisted that Cavani was nowhere near his current level some three years ago and has the new Inter coach and his staff to thank for his rise to prominence.
"The young players I had at Napoli became top players thanks to the work we did," Mazzarri said at a press conference.
"Cavani too, he was an average player when he arrived and at Napoli he turned into the Cavani he is today."
The 51-year-old voiced his confidence that his spell at Inter will be a success, insisting he has never before failed to meet the demands of a club.
"I've always achieved the targets I've been set," he continued. "I think the players should trust me and we can try to fulfil our potential on the pitch. My focus is always on the next game and the next three points."
Inter finished a lowly ninth in last season's Serie A, leading to the dismissal of Mazzarri's predecessor Andrea Stramaccioni.