After scoring in Saturday's FA Cup victory at Aston Villa, Ronaldo said: "I believe we can do better this year.
"We have a good chance of winning all the competitions, so why not think about doing that?"
The former Sporting Lisbon star, whom Sir Alex Ferguson has forcefully claimed has not been the subject of any discussion between United and Real Madrid, is now just four behind last season's 23-goal tally.
Yet he insists he would be happy if Wayne Rooney, Carlos Tevez or Louis Saha, who currently have 10, 10 and four respectively, finished the season level, or even ahead of him in the club scoring stakes.
"Manchester United is not just about one or two players," said Ronaldo. "Everyone is important.
"I am having a good season and scoring lots of goals but it would be great if Wayne could get the same number, or even more. I would be happy if that happened, and that would also be true for Carlos and Louis as well."