Mazzarri took over from Andrea Stramaccioni in May after Inter slumped to a disappointing ninth-place finish in Serie A last season.
The former Napoli boss has made wholesale changes since assuming control of the 18-time Italian champions, bringing in several new players as he aims to return Inter to the upper echelons of the table.
Inter enjoyed success in their first competitive game of the season, cruising past second-tier side Cittadella 4-0 in the Coppa Italia last Sunday, thanks in part to a double from forward Rodrigo Palacio.
However, they are likely to face a slightly more difficult challenge against Fabio Liverani's Genoa, who narrowly avoided relegation to Serie B last term.
Liverani will be hoping that his new charges can help Genoa go one better than last season, when they secured a 1-1 draw at San Siro, Esteban Cambiasso's late goal winning a point for the hosts after Ciro Immobile - who has since departed for Torino - had opened the scoring.
Inter historically have a strong record against Genoa, and are undefeated against the Liguria club in their last 15 matches in all competitions.
