The Citizens tasted domestic defeat for the first time this season after going down 4-3 to Liverpool last weekend, with United taking advantage by beating Stoke City 24 hours.
And despite still sitting 12 points adrift of their bitter rivals, Red Devils midfielder Mata insists the club will not give up on challenging for the crown this term.
"Manchester City are doing things really well," Mata told Radio Marca. "We are second and we managed to cut three points after winning at the weekend and City losing against Liverpool.
"We are 12 points away and they have a big advantage, but we don't give up and we intend to win all of our remaining games and see where we are at in May.
"If there's something that the Premier League has, it's that in recent years, it has been kind of crazy, things happening that you wouldn't see in any other leagues.
"We hope that is the case and we can have a chance."