"We had chances in the first minutes. We have controlled the counter-attacks and we didn't concede one chance. We are going to improve the way we attack," Guardiola told BBC Sport.
"I was very happy with the new players. I want to say thank you to the club. We have huge players with lots of talent. Big congratulations to all the people in Manchester City - we are a strong club.
"I want to continue with what we did in the last three games of pre-season. We were stable but we have to try to improve. The most important thing was to win the first game."
Man City will look to make it back-to-back wins at the start of the new Premier League campaign when they welcome Ronald Koeman's new-look Everton team to the Etihad Stadium on August 21.