In this article, we will discuss the process for appointing directors, including the legal requirements and best practices. A director appointment agreement is an agreement between a company and its shareholders that formally names and appoints an independent director.Contact the Texas Comptroller of Public Accounts, Tax. Assistance Section, Austin, Texas, 78774-0100, (512) 463-4600 or (800) 252-1381 for franchise tax. A director is a member of a company's board of directors and is responsible for helping to make strategic decisions for the private limited company. Guidance on appointing a director, providing corporate leaders with essential insights into the legal and procedural requirements. Assumed Name Applications may be completed online or in office via our research library computers. Assumed Name Application. Call today to schedule an appointment or fill out an online request form. If requested before 2 p.m.