Odegaard struck the opener for Arsenal before Georginio Rutter put through his own net to double Arsenal's lead. However, Diego Gomez's goal midway through the second-half kept Arsenal on their toes for the remainder of the game.
Odegaard said: "I've been waiting for that one and working really hard to improve on the finishing. I like to be in those areas, and Bukayo (Saka), we know each other really well, he finds me there, and there was a little angle in the corner there, so it was a good goal.
"It was brilliant. As I said, we've been working really hard to get it, and it was there, so we're really pleased."
On Declan Rice's performance at fullback, Odegaard added: "An unbelievable performance from him. To play right back, probably the first time in his life, and then do it the way he did it today was unbelievable, so a really, really good performance from him.
"That's just our team, everyone is ready to do whatever it takes for the team and that was another good example of that."