Erling Haaland and Rayan Cherki scored the goals as City got past the Turkish giants.
The Norwegian striker needed only 10 minutes to break the deadlock, latching on to a delightful Jeremy Doku pass and chipping over the advancing Ugurcan Cakir in the Galatasaray goal.
Cherki added the second just before the half hour mark, controlling another Doku pass and picking his spot from 12 yards out.
With Doku forced off shortly afterwards, Cherki took control of the game from that point, orchestrating City’s frequent attacks.
There wasn’t to be another goal though, despite Omar Marmoush, Phil Foden and Tijjani Reijnders all going close.
View the two-minute highlights at the top of the page...
City v Newcastle Second leg tickets available!
See the conclusion of what promises to be a thrilling final four tie at the Etihad Stadium on Wednesday 4 February.
Newcastle are the holders of the Carabao Cup and will be determined to hold on to their crown, while City are seeking a ninth success in League Cup history.
Tickets start from £20 for adults and £10 for concessions, while a wide range of hospitality packages starting from £250 are also on offer to make it a special occasion!
*On sale to Season Ticket Members and existing Cityzens Matchday and Junior Members (as of Tue 16 Dec 2025) who have purchased 1+ home fixtures at the Etihad Stadium. 4 tickets per person.