The midfielder scored twice at Upton Park as the Hammers earned an important victory in their battle for Premier League survival.
"We're absolutely delighted, it was a great victory after a well-deserved point [against Chelsea] on Wednesday night," Nolan told the club's official website.
"It's just marred by an incident, but hopefully that'll get overturned and we can just get on with it and look forward to what's going to be another tough game away to Aston Villa.
"We've been working hard on the training pitch together just to make sure that we get it right, and [this time] we reaped the rewards."
Despite Saturday's win, West Ham remain in the relegation zone on goal difference.