Pep Guardiola’s side are well and truly in the driver’s seat following their win at the Etihad, putting them just three points off Arsenal with a game in hand.
Arsenal have now lost two consecutive Premier League games and could fall down to second if City beat Burnley by more than one goal on Wednesday.
Speaking to Sky Sports after the game, Odegaard insisted that the title race is still on, and that he believes his side can still win it.
"Disappointed not to win. Obviously we wanted to get a result and we were really up for it today. We played a good game, we pressed really well," he said.
"Especially in the second half we looked dangerous, big moments in front of goal. Small margins to decide a game like this and we weren't sharp enough in front of goal and that's why we go home with nothing.
"That's football at this level. It was always going to be like that. Very intense, very tough. Small margins. Frustrating but a lot of good things in the game from us. Now it's about looking forward to the next game to bounce back.
"There's always pressure always noise. That's part of being a football player at this level. We'll keep going, stay focused and look forward to the next game and move on. You have to live with that."
When asked whether he still believes, he responded: "Of course."