USA international Altidore is on their radar, but it is thought the Dutch club would struggle to match his current wages at Villarreal.
However, AZ chief Earnie Stewart has not ruled out a swoop for the 21-year-old, telling Voetbal International: "We have some candidates for the top position in mind and that definitely includes Altidore."
Despite his struggles in the Primera Liga, Stewart believes the young American has a lot to offer.
"I think the timing of the course he chose was wrong," he added. "(The level of) Villarreal was just too high and I think he is aware (of that).
"But he still has enormous potential. We have opportunities to consider."
Altidore himself hinted at an Eredivisie move late last month when he said via his Twitter account: "Learning Dutch is gona (sic) be hard. Can I get the "how to" on Rosetta stone?"