The Paris Saint-Germain forward wants to see his Argentina international colleague make an instant impact at his former club as the new Serie A season approaches
Gonzalo Higuain, an Argentina international team-mate of Lavezzi, has been one of three former Real Madrid players to join Rafael Benitez's new side this summer along with Raul Albiol and Jose Callejon, while Dries Mertens, Pablo Armero and goalkeepers Pepe Reina and Rafael are also invovled in 2013-14.
The Paris Saint-Germain star spent five seasons at Napoli, winning the Coppa Italia at the end of his final campaign in 2012 before moving to France, and he is optimistic that Higuain can fire his former club to Serie A glory.
"Only time will tell if Napoli can fight for the title but a lot of good players have arrived and they have a good team," Lavezzi told Sky Sport. "Let us hope that the strength of the squad comes through in games.
"I've spoken a bit with Gonzalo - he'll do his best there. I hope that he does better than I did at Napoli and that he is loved more than I was."
Carlos Tevez is another Argentine to have arrived in Italy this summer - joining champions Juventus - and Lavezzi expects both players to settle in well.
"I hope both Higuain and Tevez do well. They are Argentine and it would be great if they both have good seasons but I hope Gonzalo does better," he joked.
"I really liked living in Naples. It is a city that is similar to ones in Argentina. I didn't find a great deal of difference when I arrived and I instantly settled."