Odegaard battled to make an impact in Holland during his six month stint.
"It was my decision, but Real Madrid made all of the arrangements for it to happen. It was my choice because I wanted to play more," he said.
"It was important for me to be playing at the top level. If I hadn't done it, I would have stayed in Madrid, where the daily training sessions were the best part for me.
"At the end of the season, it was agreed that I should stay another year here. I feel like I've made the right decision; I've joined a club which suits me, has a great history and promotes the development of young players."