The Portugal international netted in Los Blancos' 2-0 win over Copenhagen to claim his ninth goal of the campaign.
"All goals are important for the team and it was special to break the record today, but I don't think about records," Ronaldo told the club's official website.
"The objective is complete, the team played very well on a field that was very bad. I've broken a record in the Champions League and I'm very happy.
"The team is very good, confident, and playing attractive football. I'm coming back bit by bit [after injury]. I'm at a good level, but not my best. I feel good and eager to help the team."
Elsewhere in the group, Juventus' visit to Galatasaray was postponed until Wednesday due to adverse weather conditions in Turkey.