Arizona Supreme Court | 7,365 followers on LinkedIn. The Arizona Judicial Branch is an integrated, but decentralized, judicial system implementing its constitutional and statutory responsibilities throughout all levels of government - state, county, and city. The Judicial Branch consists of the Supreme Court, Court of Appeals, Superior Court, and limited jurisdiction (municipal and justice of peace) courts. The Arizona Constitution provides for the administrative supervision over all courts to rest with the Chief Justice of the Supreme Court.