The 15 year-old has been scouted regularly by the Gunners for the past year.
Boadu struck twice for Jong AZ against GVV in a game shown on national television.
AZ coach Martin Haar told the club's website: "He is a great talent in AZ - and we have more than one.
"But if such a boy scores twice, and it's also live on television, then you know that you're in the spotlight."
Boadu has managed three games in the Dutch Tweede Divisie this season and also struck in victory over Excelsior Maasluis.