“That's my goal, to move up to the big games,” said Foden, who has now scored six goals in nine Premier League games against United.
“That's what I want to do. I think I'm proving that this season.
“I understand what it means to the fans. It means everything to me. Scoring is even better, but it was all about the win today.”
An 11th league defeat of the season for United leaves Eric ten Hag's side 11 points adrift of the top four with 11 games remaining.
The former Ajax boss was furious that City's equalizer was allowed to stand as he claimed Rashford had been fouled at the other end seconds earlier.
But United may have few complaints after being outplayed by their rivals for almost the entire match.
Rashford hit back at his critics this week and hit back at questions about his commitment.
The England international has paled in comparison to the forward who scored 30 goals last season this campaign, but has shown glimpses of the quality he is capable of opening the scoring within eight minutes.
City appealed in vain for an offside flag against Bruno Fernandes and he laid the ball back for Rashford to curl a superb long-range effort under the bar.