United rejected two bids for Rooney from Chelsea during the summer transfer window after the England international handed in a transfer request at the end of last season.
Despite reportedly wanting out of United, Rooney remains an integral figure in David Moyes' first season in charge and has already scored five goals this term - the latest coming in the weekend defeat to West Bromwich Albion - to take himself beyond the milestone of 200 goals for the club.
Jack Rowley (221) Law (237) and Charlton (249) are the only players ahead of Rooney in the all-time United scoring charts and the latter pair are convinced the 27 year old's rediscovered commitment points towards their records being broken.
"I've spoken to Wayne and I've told him he's doing really, really well. Fantastically well," Charlton told United Review.
"I'll lose no sleep over it at all if Wayne beats my record. It will be something else for the club to be proud of. And he can buy the drinks!"
Law added: "One thing that Rooney's always shown since he's arrived at the club is that he's not only a goalscorer, but a person who tries, no matter what the scoreline is.
"I wasn't surprised to see Wayne reach 200 goals for United. I said years ago that as long as he stayed fit he would become the highest scorer and I have no doubt he'll break the record."
Rooney's tally currently stands at 202 goals from 409 matches and while his status at United has been damaged by recent rumours regarding his future, the England striker remains as important a figure to the Premier League champions as when he joined the club from Everton in 2004.
After marking his debut for United with a hat-trick against Fenerbahce in the Champions League, Rooney's career has gone from strength-to-strength while he has claimed a host of silverware during his time at the club, including five Premier League titles and the Champions League won in 2008.
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