The Gunners only have two Premier League matches to conclude, including one against Manchester United at Old Trafford.
Having won the title at that stadium back in 2002 through a Sylvain Wiltord goal, Odegaard wants to repeat the trick.
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Odegaard said: "We have heard the stories of Old Trafford and we have seen what has happened there before, how much it meant for the club's supporters.
"It is a part of our history and we want to make the fans happy again. It has been a big goal for a long time to win something so that's what we are pushing for and we keep going until the end.
We have to focus on ourselves - we don't know what other teams will do but we will keep putting pressure on Man City."