If a person is under age 18 in Arizona, he or she cannot leave home without a parent's permission unless he or she is fully emancipated, or the parents have lost their right to parental authority.

If someone 16-year-old or younger leaves home without permission from a parent or legal guardian, he or she can be prosecuted as an incorrigible child (ARS 8-201(15)(c)). Some of the consequences of being found incorrigible include being fined, be placed on probation, and being ordered to do community service. The specific charges and consequences are left up to the officer of the court.

While, the above does not directly answer your question - it does let you know that if you can't legally run away so any action taken while a runaway would be met with that fact. The Arizona Department of Education website allows for people to ask questions and they are who need to be asked regarding their rules for school transfers.