The 18-year old recently completed a trial with the newly crowned Eredivisie champions and is set to sign a loan deal with the club.
“Mark was on trial here, and we would like to give him a chance for a season," AZ technical director Marcel Brands told voetbalprimeur.nl.
"We have told his club that we are willing to pay them a fee for that, but they talk about numbers which we will always reject.
"He is a young guy and because of his double nationality, he can start in Europe without a problem."
Birighitti also has an Italian passport allowing him to work in Europe without a visa.