Five minutes later, Brighton defender Dunk slammed a header into his own net as he tried to clear a cross under pressure from Gabriel Jesus, with the home side lacking the firepower to mount a comeback.
He also believes City have assembled a squad that will remain together for years to come, with young, hungry player across every area of the pitch. We saw what happened in many [other] games.
Manchester City will travel to Brighton at 16:30GMT. Being at one club for eight, nine years it's a big change for me but I'm enjoying my football. We will try to improve.
"We are so satisfied for the first game, the way we played".
"The club was clever like that because we anticipated what we needed after last season".
Man City signed Walker from Jenas' former club for around £50m earlier in the transfer window and he believes that Tottenham got a good fee, but is anxious to see Guardiola working with England's best right-back.
We have controlled the counter-attacks and we didn't concede one chance.
"It was always going to be hard for us to score", said Brighton manager Chris Hughton.
"Here every game is a battle, and from my experience - in Barcelona too - it's hard against a newly-promoted club".
Where the Manchester clubs have spent upwards of 200 million pounds on their teams, Chelsea - who have a small squad as it is - have brought in just Tiemoue Bakayoko and Alvaro Morata, both talented players but unaccustomed to the rigours of the Premier League. You don't see a player in my team who didn't run, and I'm proud of that.
"I have a feeling that we will score early and get a good win against Brighton on Saturday".
Hit play on the video at the top of the page to watch highlights. It will be hard for them to stay up, especially the first time around.
But the former Barcelona and Bayern Munich boss expects even better from City once his new players get used to the tempo of the Premier League.