The Real Madrid midfielder has joined the Gunners on-loan to the end of the season.
"That was very important for me and he seems like a top manager and I liked his ideas, the way he sees football and also the way he is.
"He gave me a great feeling and that was important for me to come here. He was crucial.
"I think every time you go to a new place, you want to make sure that it feels good and that there is a plan. But I think everything here just seems good.
"I like the club and I always liked the way that the club wants to play. Everything about the club and now how the manager wants to play, I think it's a club that really suits me well. So I think it's a good match."
The Norwegian's Real Madrid team-mate, Dani Ceballos, is into the second successive loan spell in north London - and played his part in convincing the 22-year-old to join him.
"Yes, [Dani] text me the other day and he had only good things to say about the club, the manager and everything," Odegaard said.
"That was also important for me and he was happy for me to come here, so that was a good thing for me, to know someone here and to hear from someone inside the club as well. It's good.
"It has been some hectic days but I've been talking to the club, to the manager and it seems like a great project and a great club," he added.
"I'm just so excited and when I had the chance to come here, I felt like it was a really good chance to take. So I'm really happy to be here."