The Gunners opened up a five-point lead at the top of the table following their last-gasp 3-2 win over Manchester United on Sunday.
City are their closest challengers but the holders have played a game more than Arsenal, who they meet in the FA Cup fourth round on Friday night.
The two have yet to face one another in the league this season and, despite their advantage, Arsenal manager Mikel Arteta said after the United triumph that City remain the best team in the division.
Odegaard, though, has no interest in what City are doing – Pep Guardiola’s side having closed the gap from eight points to just two before the United victory.
‘No, honestly, we don’t care about City or any other team,’ the Arsenal captain replied when asked if there was more pressure on the game because of City’s back-to-back wins.
‘We expected them to win so that was not a big surprise and we just focused on our game, to come here and win and that’s what we did. The way we won this game gives us a special feeling that will help as well. It’s a long season. We’re just halfway through, there are many games to be played so we have to stay calm and humble.
‘Our only focus is the next game and that’s all that matters. We have to stay focused like this.’
Arsenal now sit on 50 points, their best total at the midway stage of a Premier League season, eclipsing even that of Arsene Wenger’s Invincibles.
Such form has now made them many people’s favourites to win the title for the first time since that 2003-04 campaign, but Odegaard will not let minds shift from the task at hand.
‘It’s way too far ahead to think about that now,’ added the former Real Madrid playmaker.
‘We have to stay in the moment. We’re doing really well but we have to stay calm, it’s a long way to go and we have to keep working and improving. Then we’ll see.’ United defender Lisandro Martinez, who scored his first goal for the Reds on Sunday, insists Erik ten Hag’s side have no time to feel sorry for themselves and must quickly move on.
‘We have to be strong and we have to learn from every experience,’ said the Argentina World Cup winner.
‘We don’t have a day to be sad. We have to go tomorrow and change. We have to go for the next one.’