Lavezzi worked with Mazzarri at Napoli.
"I've never had a Coach who works so well tactically," he told Sky Sport Italia. "Mazzarri made me grow up as a footballer.
"He spoke with me a lot, and told me what I had to do to improve.
"I have friends in Milan and I love the city. I do not know about now, but I would love to return to Italy.
"Argentinians and Italians are very similar. I'm not saying that I prefer Italians to the French, but I feel closer to Italians."