Multiple courts have held that statutes of limitations simply do not apply in an arbitration proceeding without some contractual provision. The answer is that a typical statute of limitations probably does not apply to an arbitration.I say "probably" because there is a split of authority. The statute explicitly excludes the notice-of-claim process established in. A.R.S. § 12-821.01, as well as arbitration under the Uniform Arbitration Act. Gov , or may be located in the Self Service. The list of eligible arbitrators includes all county residents who have been active members of the State Bar of Arizona for at least 4 years.