Needing a win to keep the pressure on leaders Arsenal, Pep Guardiola made six changes to the side that had beaten Brentford at the weekend.
City were taking on a Palace side who were safe from the drop and with a Conference League final to look forward to.
Despite a nervy opening, City gradually took command.
Goals from Antoine Semenyo and Omar Marmoush - both assisted by the excellent Phil Foden - saw us going into the break with a two-goal advantage.
Savinho wrapped up victory late on as the Blues moved within two points of leaders Arsenal.
Watch our 8-minute highlights by playing the video above...
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