Ariz. Const. art. 6, § 3

The supreme court shall have administrative supervision over all the courts of the state. The chief justice shall be elected by the justices of the supreme court from one of their number for a term of five years, and may be reelected for like terms. The vice chief justice shall be elected by the justices of the supreme court from one of their number for a term determined by the court. A member of the court may resign the office of chief justice or vice chief justice without resigning from the court. The chief justice, or in his absence or incapacity, the vice chief justice, shall exercise the court's administrative supervision over all the courts of the state. He may assign judges of intermediate appellate courts, superior courts, or courts inferior to the superior court to serve in other courts or counties.