He told Sky Sports: "It is always good to be captain on this massive club. For me it is an honour and a pleasure.
"But my responsibilities are still the same. I do not change my game or personality just because I am captain. It was a marvellous night for me."
Ronaldo went on to insist the 2-0 triumph at Old Trafford, which took United three points clear of Arsenal at the top of the table, was down to a team effort.
"It is not just about my work and my goals, my team-mates help me a lot in my career. At the moment I feel very good about my form.
"The team is the most important thing. When you win and when you score it is great. I feel very happy."
The second of Ronaldo's goals came via a trademark free-kick, which dipped and swerved wildly to leave goalkeeper Ali Al-Habsi with not a prayer.
And when asked if he had a name for his free-kick style, he smiled: "Rocket!
"I like to hear people say 'the Ronaldo rocket'. I am joking."