Tradename Registration Guidelines. The registration of trade names and marks is not legally required in Arizona, but is an accepted business practice.Fill Out The Trademark Application. Trademarks and service marks which are used in interstate or foreign commerce may be registered with the United States Patent and Trademark Office (USPTO). Log in to access forms. Select the type of form listed below for direct links to TEAS and TEASi forms. The Office of the Secretary of State files the registration of trade names and trademarks in the State of Arizona. Trade names and trademarks may be registered, for a small fee, with the Arizona Secretary of State.