The Hammers will take on the defending English champions away from home at the Etihad Stadium in the Premier League on Sunday.
City have lost their last two league games and are virtually out of the running for the title, leading Kouyate to describe Manuel Pellegrini’s side as a “wounded animal”.
“Anything's possible in football, but we mustn't forget who we’re up against,” the 25-year-old told West Ham’s official website. “They’re a wounded animal, because they need points, so they have to wake themselves up to win.”
Playing at home will give City an advantage against West Ham, who also have an inferior team to the Manchester outfit.
However, the Citizens have slipped up at the Etihad before, and Sam Allardyce’s side should head into the game believing in themselves.
Given the fragile situation at City, if West Ham get an early goal, then they could well go on and win the contest.
West Ham themselves are struggling for form and for points at the moment, but they do have some good players who can step up on big occasions.