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 arbitration provision of the Customer. Agreement does not refer to state law, stating instead that "the. The arbitration provision of the Customer. Agreement does not refer to state law, stating instead that "the. 7501. Effect of arbitration agreement. 7502. Applications to the court; venue; statutes of limitation; provisional remedies. Fill out the form and mail or email it back to us (see directions on the form).