Allegri took a dig at Napoli for trying to play down the significance of the game.
"This fixture is a Scudetto battle, no matter how hard they try to hide that fact," declared Allegri.
Curiously, both tacticians are from the Tuscan town of Livorno.
"Mazzarri and I are both sanguine fellows, but he certainly expresses himself in a different way to my own personal style.
"I don't think you always have to raise your voice or get angry, as there are different ways to show your authority.
"What I ask the Napoli Coach is to avoid getting sucked into controversy. Every now and then these issues can be fun, but sometimes I really don't enjoy them."