City have looked susceptible this season, conceding two-goal deficits to Newcastle and Crystal Palace, but the scoring power of Erling Haaland has rescued them.
Nevertheless, Cooper is in no doubt what a tough experience it will be, saying: "I think it will be a different game to the Spurs game.
"We are really looking forward to going to Man City, it is one of the biggest challenges in world club football, there is no doubt about that.
"But that is why we want to be in the Premier League, this is what we want to be part of. We have to go there hopefully with the right plan and supporting the players to go and do the best we can on the night.
"If we do that and we can give a good account ourselves - we are aiming to be the best version of ourselves - and if we can do that we will see where it takes us.
"That is why we have got to really believe in ourselves. You have to go into these games thinking you can succeed and that is what we will be doing.
"Harry Kane on Sunday and Haaland tomorrow, two world-class strikers and goalscorers. This is why you want to be in this league, you are coming up against the best players in the world. City don't just have Haaland, they have a number of players.
"This is what we wanted, this is why we worked as hard as we did last season."