The Nerazzurri have been linked with a move to re-sign their former striker, but the club's coach is cautious over any potential deal
The striker was part of the Nerazzurri's treble-winning side under Jose Mourinho back in 2010 and looks set to leave Anzhi Makhachkala after the club announced their plan to drastically cut their wage bill.
And with Eto'o believed to be the Russian's top earner, the 32-year-old has subsequently been linked with a move to several top clubs in Europe, including Inter, but Mazzarri refused to expand on any possible interest.
He told reporters after the game: "Eto'o arrives? It's not my place to speak. I'm happy to coach the team I have right now and we'll see what the market says."
Goals from Yuto Nagatomo and Rodrigo Palacio sealed victory for Inter in their first Serie A outing of the season and Mazzarri emphasised the importance of picking up points at home and keeping a clean sheet.
"Let's not forget, these guys had not won for four and a half months at home," he added.
"When we attack so much and do not suffer defensively, this is a good sign for me. It is important to feel the solidity of the team and not conceding a goal is central to this."
"After we scored we played some really good football and we were unlucky not to even score a few more goals."
Inter are back in action next Sunday when they travel to Catania.