The Nerazzurri's biggest test yet will come on Saturday, though, as Scudetto winners Juve visit San Siro having also posted back-to-back wins and Mazzarri says that the ramped pressure has increased expectations within the club.
"The more pressure there is, the more up for it you are," he told reporters on Friday. "We hope to give our fans lots to cheer about.
"We're focusing on ourselves. Inter-Juventus is always a highly anticipated match but however it goes tomorrow we'll still only have played three games."
Mazzarri, whose side are yet to concede this season, also expressed his satisfaction at seeing hard work on defensive systems pay off on the pitch.
"We're careful defensively and developing our attacking game," he added.
"We can cause problems for anyone. The team's defensive work is crucial. We must remain compact but also think about hurting the opposition."
Inter have been handed a further boost with the news that striker Diego Milito, 34, is ready to return to his squad having been out with a knee injury since February.
"He'll make the squad, yes. I want him in the group even though he's not at his best yet," Mazzarri said of the forward, who scored in a 2-2 friendly draw against Lugano on Saturday.