Wright-Phillips returned from a three-match suspension to star in Wednesday's 2-0 win at home.
The winger, who scored an excellent late goal, admits he was delighted to be back in action after a frustrating spell on the sidelines.
"I was tearing my hair out during the ban. I was a pain on the training ground," he told the Manchester Evening News.
"But it's great to be back. And against Villa, we showed what we're capable of. We always knew we were capable of a display like that, but it's about producing it.
"That rates as one of the best performances we've put in this season."
Difficult to beatThe seventh-placed team in the league is expected to qualify for the newly-named Europa League and City are currently just four points adrift of West Ham.
City still have away games to play against Chelsea, Arsenal, Everton and Manchester United but Wright-Phillips is confident they can improve on the road to secure a place in Europe.
He said: "We believe we can do it. We're only four points off seventh, so I don't see why not.
"We've always believed we will be difficult to beat at home, but we have to show it in our away games as well.
"I don't think the team has ever been lacking in confidence. It was always about getting the chances to score and taking them when we had the pressure, and we did that against Villa."
Manager Mark Hughes agrees with Wright-Phillips about what City should be targeting from the remainder of the league season.
"Seventh has to be realistic for us and we will work to that end," said Hughes.
"We have targets. We are still in the Uefa Cup and we have high hopes of progressing further.
"But our bread and butter is the Premier League and I would like to think we can achieve something this season."