Zaha is on-loan from Manchester United.
Zaha said: "I was just glad to get on. We needed the crowd to help and the noise the fans made helped to push us on.
"I'm happy. I hope to be one of the fans' favourites. Every game I came on I will give it my all."
He added: "We can get out of the relegation zone if we just believe. Getting these points have helped a lot.
"The manager just told us to push on. We were at home and there's no reason why we should be on the back foot all the time. Go and attack."