Appeal to the Appeal Tribunal. The first step in the appeals process is an appeal to the Appeal Tribunal. The Appeal Tribunal is the name the Texas Payday Law gives to hearing officers who hold wage claim hearings.Each appeal case has only one hearing officer.ou can submit your written appeal online, in person at your Workforce Solutions office, or by mailing or faxing your appeal letter to the Special Hearings Department at the address or fax number on your Preliminary Wage Determination Order. You cannot submit an appeal by e-mail or over the telephone.