The Bianconeri defender was very satisfied with the way the Scudetto holders bounced back after two consecutive defeats
Arturo Vidal opened the scoring halfway through the first half when he converted a spot kick, before Carlos Tevez made it two shortly after to help the reigning champions to three points.
And Chiellini was delighted with his side's display following their Champions League disappointment.
"We analysed everything over the past few days and saw that certain things could have gone differently. But I can say that I saw the right spark in Madrid and today we once again saw another Juventus, ruthless and aggressive, just as the coach wants," Chiellini told reporters.
"We started with the right anger and aggression and swarmed Genoa in the first half. Only an inspired [Mattia] Perin performance prevented us from adding to our tally.
"Now we’ll be confident in approaching Wednesday’s game against Catania."
Juventus currently sit third in Serie A with 22 points from nine games, trailing leaders Roma by five points.