ONLINE PROPERTY TAX ARBITRATION SYSTEM - AVAILABLE NOW Visit Texas. Arbitrators desiring to be included on the Arbitrator Registry must apply using the online arbitration system.Learn More About the Arbitration Process in Texas and How It Helps to Resolve Disputes Outside of a Courtroom Setting. Arbitration works a lot like an actual trial. The arbitrator will hear both sides of the dispute. This article aims to demystify the Texas Arbitration Act, making it more accessible for those involved in or considering arbitration in Texas.