City thrashed the 10-man Magpies 4-0 at the Etihad Stadium on Monday to get their Barclays Premier League campaign off to a flying start.
It was also a perfect first game for new manager Manuel Pellegrini, who has been told his task is not only to win silverware at City, but to do so in style.
Clichy feels they impressed on both required fronts as they overran Newcastle from the outset to win with slick attacking football.
The Frenchman said: "When you play for a team like City you always want the three points.
"The ideal game is to play attractive football, score goals and create chances but at the end of the day the most important thing is three points.
"On Monday night we did that, with the way we played as well. We can be happy with the result.
"It was a good performance defensively and offensively and hopefully we can carry on like this. It was a great game.
"Away from home it will be more difficult but it is a good way of starting the season. We are going to play like this (in approach) from today to the last game."
City's performance evoked memories of when they launched their title-winning 2011-12 campaign with a 4-0 win over Swansea.