Online filing for Trade Names and Trademarks has been fully implemented and PDF forms are no longer accepted. 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). The Office of the Secretary of State files the registration of trade names and trademarks in the State of Arizona. Get free patent and trademark legal assistance. Patent Pro Bono Program. The application primarily requires you to provide a written description of the trademark. How can I register a trade name or trademark for my business in Arizona?