Danny Sturridge gave City the lead after halftime before French youngster Gael Kakuta managed to level scores in front of a passionate home crowd.
"It is game on, a little bit like the semi-final against Aston Villa," Chelsea coach Paul Clement told the club's website. 'We wanted to win the game here today, played good football in front of our home fans, and it was fantastic to see so many people here tonight.
"Eleven thousand at home for a youth team game is tremendous. A lot of the first team players were here showing their support too which was really pleasing."