"I certainly hope I can achieve it this season with Real Madrid and we will it give it our best shot," the Brazilian World Cup winner told reporters ahead of his team's Group F match with Partizan Belgrade on Tuesday.
"We're working hard, we have played some good soccer this season and we always want to win. I know we have the quality to go all the way but it's a tough competition with many good teams in it."
Real Madrid top their group with a maximum nine points from the first three games and a win against the Serbia and Montenegro champions would secure them a spot in the last 16.
Partizan, who lost 1-0 when they visited Real two weeks ago, prop up the group with only one point and need a win to keep alive any hope of playing in Europe after the winter break.
The team finishing third in each group goes into the third round of the UEFA Cup, while those that finish last are eliminated from European competition.
Ronaldo believes Real Madrid have a very good chance of qualifying for the knockout stage of the competition with two games to spare.
"They will have to come forward and that will give us plenty of room to catch them on the break. We have many good players who also work very hard and I think we can come away with all three points tomorrow," said the World Player of the Year.
Asked to comment on recent speculation that he might be moving back to his previous club Inter Milan after the departure last month of manager Hector Cuper, he said:
"I am very happy in Madrid and all I am thinking about right now is the next game, a very tough match against Partizan.
"They showed a fortnight ago that they are capable of playing very good football and I don't expect an easy game as they've got some quality players too."
