Haaland will miss the friendly against New Zealand after scoring a hat-trick in the World Cup qualifying win against Israel.
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Haaland also managed to miss two penalties in the 5-0 rout.
The striker now has 51 goals in 46 appearances for his country, with Norway closer to qualifying for the World Cup for the first time since 1998.
City pair Oscar Bobb and Sverre Nypan, meanwhile, are staying with Norway for the game against the All Whites.