Riccardo Saponara jumped from the bench to score a goal and provide an assist for Giacomo Bonaventura.
“It's not easy to win here, we managed to do it with an excellent performance," Italiano told DAZN.
“I liked the attitude from the lads, although we were at first surprised by the way Genoa were set out with a four-man defence, we readjusted.
“It was the first of three tough games this week and important to pick up points."
He added: “We work to have more scoring opportunities than the opposition, and are happy to be keeping the chances at the other end relatively few and far between.
“We must continue like this, as we cannot lose the focus and dedication we've had so far. I am happy for Ricky, as he's been going close to a goal for a few games now."