The former Lyon midfielder was signed before Tuesday's transfer deadline for the tournament.
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“This cup is new and we want to win,” he stated.
“I think I am ready because I see all the time the games in the Premier League and for me, the Premier League is the best league in the world.
“I am impatient to play a game in the Etihad and with my team-mates.”
Trophy hopes
Cherki also said of his ambitions with City: “It’s very important for me to play the big cups like the World Cup and the Champions League.
“When I saw that City wanted me and that they play in the Champions League, it was very important.
“I want to play all the cups in my career and now I think it’s a good moment to play the Champions League.”