The Portuguese ace stressed he was not concerned by the reception from the home fans as his only worry is to continue playing at a good level for club and country
The Real Madrid star was instrumental in Portugal's victory as his two goals, one in each half, paved the way to an important win.
Ronaldo received whistles from the New GSP Stadium crowd, with the Cypriot fans also shouting the name of Barcelona's Lionel Messi in a bid to rile up the Portuguese.
After the game, the former Manchester United man assured he paid no attention to the jeers.
"I shut people up all year. I do not care about what others do or say," he said, according to RTP.
"I want to continue my work, I started this season in good form, with important goals, and I want this to continue. I always try to give my best."
Questioned about the case involvizng his club team-mate Ricardo Carvalho, who left Portugal's camp on Wednesday, Ronaldo said: "Everything that happened is now over, coach Paulo Bento has already talked about this and what we think stays in the group."