City's win means they remain unbeaten in eight games so far this season.
After scoring twice in City's League Cup win over West Bromwich Albion on Wednesday, Sane put City ahead when he played a one-two with David Silva, poked the return ball over defender Scott Dann, and placed his finish between the goalkeeper's legs. The Sky Blues could go top with a win this weekend and will fancy their chances given Palace's woeful start in 2017/18.
City have now scored 16 times in their last three top-flight games, but Guardiola is demanding more from his players after they struggled to turn their dominance into goals in the first half.
Mamadou Sakho almost had the worst possible start to his first appearance in the Premier League since his return to the club as, trying to clear the danger from a Kevin De Bruyne cross with a diving header, he put the back against his own post but fortunately it went away to safety.
As revealed by Opta, City completed 31 passes before the midfielder found the top corner, the most prior to a goal in the Premier League since September 2015.
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"We had it but the ball needed to stay as little as possible in our feet before being moved".
Palace has now lost all six of its matches and has yet to score a goal.
Goals by Leroy Sané (44′ minutes), Raheem Sterling (51′ minutes, 59′ minutes), Sergio Agüero (79′ minutes), Fabian Delph (89′ minutes) helped the Pep Guardiola's side sink the Eagles 5-0. And we have to create in the game, to provoke the game.
Mamadou Sakho nearly gifted City the lead as early as the seventh minute, and was fortunate to see his glanced header towards his own goal come out off the post. "He didn't have a good pre-season, he was not good in the first pre-season games".
Benjamin Mendy has admitted that Pep Guardiola had a huge bearing on his decision to move to Manchester City in the summer. I'm being bombarded with statistics with how good they are but I'm not fazed.
Liverpool won 3-2 at Leicester City but had Simon Mignolet to thank for saving a penalty from Jamie Vardy which would have levelled the scores at 3-3. "And we didn't for most of the time in the first half".