Arierhi joined the Canaries from Nigeria National League, NNL, outfit Beyond Limits FA.
The move will, however, be made official when the transfer window reopens in January.
The 17-year-old spent time on trial at Lillestrøm SK earlier in the year.
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Arierhi told the club’s official website that the goal is to become so good that he can eventually play for one of the top clubs in Europe.
The striker shone for Nigeria at the WAFU B U-20 Championship in Togo last month.
He scored three goals for the Flying Eagles at the competition.