Palace have a tough task on their hands - City have won all nine of their home games so far, scoring 37 goals in the process, and sit one point off the top of the Premier League table.
Bannan is optimistic following Palace's 1-0 Boxing day win over Aston Villa - a result that lifted them out of the relegation zone.
"We're looking forward to it," he said.
"These are the games you want to be in the league for - big games, big occasions, and we'll go there with our confidence sky high after this win and hopefully try to get something, and a bit of credit as well.
"I think you treat it as any other game. Obviously you're underdogs, nothing's expected, so you're going out there with a freedom to get something. There's a different pressure which hopefully we'll thrive on and give them a game.
"Anything can happen on any given day in this league and hopefully there'll be a shock when we go there."
Palace were among the favourites to be relegated when Tony Pulis took over as manager a month ago but the Welshman has masterminded three wins from six games and Bannan insists the Eagles can avoid the drop.
"We've never doubted it," he said. "With the group of players we've got, and everyone pushing in the right direction, I'm sure we can stay up.
"We've been strong at the back, since the new gaffer's come in we've been brilliant defensively and we showed (against Villa) that we're a threat going forward.
"We must have created five or six good chances and I think against any team, with the players we've got, we can create chances."