Ronaldo, 33, scored his first goals in the Italian top-flight in the 2-1 victory over Sassuolo, as the champions held on to a crucial three points after going down to ten men.
The five-time Ballon d'Or winner missed out on a couple of gilt-edged chances in the second half to grab his first hattrick for his new employers but nonetheless finished the encounter delighted by breaking his mini goal drought.
"I'm very happy, Sassuolo played well," he said to Sky Italy after the match. "We have to give ourselves credit, we were intense, we created many chances and obviously I'm happy to score my first goals.
"The important thing is for the team to win, and maybe I was a bit anxious, as is normal, after leaving Madrid and everything that happened."
Juventus paid a league record 112 million euros to Real this summer for Ronaldo's services, and the striker thanked his teammates for their support.
"Sometimes we don't control our anxiety, but I knew my teammates and I were working well together and the goals were going to come," he continued. "I'm still adapting to the Italian league."