Spurs have three successive Premier League wins for the first time since February 2025, when Ange Postecoglou was still at the helm.
The game against Palace was effectively over after just 13 minutes when Jean-Philippe Mateta saw a straight red for a rash challenge on Micky van de Ven.
Archie Gray and Jan Paul van Hecke scored the goals to secure all three points for Spurs and take them into the top half of the Premier League.
De Zerbi was clearly delighted after the game following a strong performance from his team.
"I'm very happy with the performance, because we showed to be a mature team, with clear ideas," he said.
“We didn't concede a counter-attack, maybe just one in the second half. We created many, many chances. If we want to follow perfection, we have to be more nasty, no?
“That is an individual thing, because if I'm number nine, number 10, I want to score. But I can't say nothing. We are improving the physical condition.
“(Sandro) Tonali today was unbelievable, incredible. We played with two players more. Tonali was the double today."