Boaz Myhill has set his sights on helping the Tigers to take points from games against Arsenal and Manchester United in the next fortnight.
City go into games against two of the 'Big Four' on the back of a 0-0 draw against Blackburn and Myhill knows his side has already been written off by outsiders for the next two matches.
"We've got two games coming up where we can have a really good go at the opposition," said Myhill.
"They're games that maybe nobody expects us to get anything from.
"As far as the Blackburn game is concerned, the manager will have been delighted with the clean sheet and it was a game that neither side wanted to lose.
"It was always going to be a game like it turned out to be. It was two sides in the lower reaches of the league and that is not normally conducive to great football. We're pleased with the point, pleased with the clean sheet and we'll take things from there."
Saturday's game saw Myhill return to the side after a period on the sidelines and he was pleased to be back in action.
"It's been strange really because it's been almost two months since I last played a game and I've never really missed any football through injury.
"It was great to be back in the side. I was a little bit rusty at times, but that is going to happen. The clean sheet was pleasing, though."