Kai Havertz scored the only goal of the game in the 37th minute.
The Gunners remain top of the league with 70 points, nine above City.
The Gunners secured a crucial win towards the end of the game, scoring their two goals in the 89th and 97th minutes.
Arsenal fans will now focus their attention on the game between Liverpool and second-placed Manchester City on Sunday.
This is Arsenal’s first Carabao Cup final since 2018.
Tottenham and Burnley played out a 2–2 draw at Turf Moor.
The Gunners easily tore through Chelsea’s defence line, scoring 5 to set a new record against London rival.
Arsenal would have returned to the Premier League summit with a win but now sit second, two points behind reigning champions Manchester City.
Zinchenko made it 3-1 with an improvised volley after Burnley failed to clear a corner.
Arsenal extended their perfect start this season with a crucial win at the Emirates Stadium, snatching a first win against City since 2015.
