Ronaldo – already the competitions all-time leading goalscorer – became the first player in history to convert in all six Champions League group-stage matches as two-time reigning titleholder Madrid overcame Borussia Dortmund 3-2 on Thursday.
Madrid will now prepare for the last 16 as the runner-up in Group H and the four-time Ballon d'Or winner, who is tipped to receive the honour for a record-equalling fifth time on Friday, is eyeing a UEFA Champions League three-peat.
"Hopefully we can win the Champions League again," Ronaldo said.
"The important thing was to pass through the group stage.
"Our aim is to win the Champions League."
Ronaldo said: "I'm very happy, we wanted to finish the group stage well with a victory.
"I also scored; I helped the team to win with a beautiful goal. The record is also important, I'm really pleased."
While Ronaldo has starred in Europe, the 32-year-old has struggled domestically, only managing two goals in 10 LaLiga appearances for the defending champion.
"[the Champions League] is a competition that I really like to play in," he said. "Obviously, I also like to score in it."