City were frustrated by their visitors for much of the match before substitutes Mario Balotelli and James Milner both opened their accounts for the season in the last 20 minutes of the game, subsequently putting Roberto Mancini’s side top of the Premier League for the time being.
Speaking to SkySports after the match, Kompany said he wasn’t surprised that Everton were so hard to break down: “We knew that would be the case, we never have an easy game against Everton.
“I think today we showed a lot of positivity in defence and I am really happy with the performance.”
Despite Everton concentrating on staying tight at the back for much of the match, the former Hamburg man insists City weren’t getting frustrated.
“Maybe on any other day [they’d be frustrated],” he continued. “But I think they did exactly what Napoli did, except this time we didn’t allow ourselves to get surprised.
“As I said, with the quality we have, sometimes it’s just a matter of patience and the goals will come.”
The Belgium international also went on to hail not only the recent form of David Silva, but also the Spaniard’s presence around the team’s dressing room, commenting that the former Valencia man was a pleasure to be around.
Kompany explained: “He’s great, although he is nowhere near as good on the pitch as he is in the changing room - he’s a great guy to have around.
“I’m happy that he does well, but I’m also just happy to have him around the team because he is a great guy.”
Following City’s disappointing 2-2 draw at Fulham last weekend, Kompany dismissed suggestions that the surrendering of a two-goal lead at Craven Cottage had any impact on his sides mentality against Everton.
He concluded: “I think one of the good things about our team is that we don’t really get down on bad performances and I think against Fulham, we only really played one bad 45 minutes.
“Today, maybe we didn’t impress, but we did exactly what we needed to do.”