The Norway international was finding playing time hard to come by at Real Madrid and made the January switch to the Emirates on loan until the end of the season.
Attacking midfielder Odegaard admitted Arteta played a vital role in informing his decision to join Gunners and labelled the Spaniard a ‘top coach’.
‘It’s been amazing, he’s a top coach,’ Odegaard told BT Sport.
‘He’s really intelligent, really smart and there are so many things I can learn from him so I’m just happy to be here and be able to learn and see how he works.’
When asked why he chose to move to the Emirates, the midfielder replied: ‘It was a lot of things really: first of all the manager and his ideas, the way he wants to play football.
‘I think his style of play suits me really well. Also everything about the club, I always liked the club and how they played and I always followed the club.
‘When I was younger I watched a lot of games and every time Arsenal played I wanted to watch. So they’ve always been a club I’ve been watching pretty closely and everything felt good to me.’
But Odegaard is in no doubt about the quality of the players at the club and backed the side to make a rapid ascent in the near future.
‘The club is in a process now where things have changed a little bit, but what I’ve seen and experienced here makes me sure the club will be back at the top very soon,’ he added.
‘I think we have really good players at the club and some top talents.
‘They’ve shown it in the Premier League and it’s the biggest league in the world, so I think they’re at the top in terms of talent and quality. When you see the way they’ve been playing, it’s amazing.’