"It's nice to go home with a smile on my face. I do like winning local derbies. Chelsea, Spurs, and we've got another one on Wednesday night [against Arsenal]," Noble told the club's official website.
"When you play against these players and you play against teams like this that have so much money and can buy the best players in the world, you can't just open up and match them up.
"You've got to realise that and you have to find a way to beat them. We found that way by defending, by counter-attacking and I don't care if we defended for 90 minutes. We won the game."
West Ham currently find themselves in 18th spot in the standings, level on points with 17th-placed West Bromwich Albion.