Speaking to his club's website after the victory, the Argentine admitted that a bigger lead at the break would have made things easier for the Serie A side.
"If we had been able to take a 2-0 lead into the dressing room at half time, the match would have unfolded very differently - perhaps we would have scored another goal and been able to see it out without any problems. That's not the way it went, but we had a great response," Cambiasso said.
The midfielder also gave an insight towards what he thought Inter needed to do to regain their momentum this season under new manager Claudio Ranieri.
"We got off to a bad start [this season] but there weren't actually many games where we got it wrong. Big teams sometimes need a little time to adjust and consolidate."
Inter will now have to refocus on their Serie A campaign, where they face Napoli next, but Cambiasso was reluctant to think so far ahead yet.
"I don't want to think about Napoli now, even though it's a crunch match. For now I just want to enjoy this win. It's an important victory," Cambiasso sighed.