The Magpies lost the Tyne-Wear derby to Sunderland at the weekend in dramatic fashion and face a series of tough tests with Chelsea and Tottenham coming up in the Premier League following their cup contest with Manuel Pellegrini's men.
But the Nigerian says the entire squad are keen to bounce back from their derby defeat with a win over City, and sees no reason why the St James' Park outfit can't progress to the next round of the competition.
|4/1||Newcastle are 4/1 with Coral to beat Manchester City|
"Against Man City unfortunately we have not been able to do that. It's a scalp that us, as a group of players, want. Being a cup game it is going to be a different atmosphere. It is a massive game.
"After the disappointment we had at the weekend, if we can get the win it will go a long way to building up our spirits again and give us confidence going into the Chelsea game.
"In football, as indeed in any sport, momentum plays a massive part in it. Coming up after that defeat, we need a game as quick as possible. And what better way than to beat City at home in the cup."
Ameobi believes finding greater consistency will improve Newcastle's fortunes dramatically, and urged his team-mates to work harder for each other on the pitch.
"How do you get that consistency?" he added. "It stems from us as players. What we do as players on a match day, we need to do the right things all the time, playing the right way. At times we have looked disconnected, the Everton game in the first half, standing off a bit, not working together as a team at times.
"The teams that are consistently good are all working together all of the time, doing the right things, helping each other, whether it is moving forward or coming back defending. That is where we have not been great this season at times.
"It is about trying to get us all on the same wave length on the pitch. When we do that, we are a very good side. When you talk about consistency, that is what the manager is trying to get from us - working together as a team."