The Argentine has been linked with a return to Serie A from Paris Saint-Germain in January but the San Siro coach believes any move would be complicated
The 28-year-old - whose current deal runs until June 2016 - has been unable to cement a permanent starting spot in Laurent Blanc's PSG side this season and there have been suggestions he could return to Serie A in the winter.
Mazzarri did not deny interest in signing the Argentine, whom he coached for three years at Napoli, but said a move for the Parisiens forward would be complicated.
"If Lavezzi did what he did at Napoli and then joined PSG it's because he's a player who would be useful at any club," he told Rai Sport.
"But going from that to saying that Inter should buy him, well, there are lots of factors to consider."
With Diego Milito and Mauro Icardi sidelined through injury, the Nerazzurri are running low on strikers, and Mazzarri is hopeful of resolving the situation swiftly and retaining the club's status as the leading scorers in Serie A this term.
"Back in the summer I think we had Milito and Icardi... but now they're injured," he continued. "We're missing two players in the same position - and not because the club didn't sign them but because they got put on the sidelines.
"Until January we have to work with what we've got. Besides, with the players that we have been able to field we have the best attack in Serie A."
Inter host Trapani in the Coppa Italia on Wednesday as they bid to reach the Round of 16.