The Stromsgodset midfielder will become Norway's youngest ever international if he appears in the match in Stavanger. He will be 15 years and 253 days old on the day of the game.
Odegaard, who was not even born the last time Norway qualified for the World Cup, in 1998 in France, has scored three goals in 14 games for his club side.
"This is a dream come true. I was shocked and the call came as a surprise, but I was of course very happy," he said on the Norwegian Football Association website.
"That's what I've dreamed about since I was little. I have looked up to these players and it is really great to be able to team up with them. I am incredibly proud to be able to represent my country."
Odegaard has reportedly attracted interest from the likes of Manchester City, Manchester United and Barcelona.
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