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 specific statute of limitations depends on the nature of your case. For a written contract, you generally must file your lawsuit within 4 years of when the agreement is broken. SB 707 (Wieckowski, DFremont) requires an employer to pay arbitration initiation fees within 30 days after the due date. Federal and state level. The primary federal statute governing arbitration is the Federal. For years, the legislature has supported and promoted the use of arbitration to resolve disputes. In the aftermath of Ramirez, companies stand to benefit from reexamining their existing arbitration agreements subject to California law.