Tradename Registration Guidelines. The registration of trade names and marks is not legally required in Arizona, but is an accepted business practice.The Office of the Secretary of State files the registration of trade names and trademarks in the State of Arizona. Fill Out The Trademark Application. Log in to access forms. Select the type of form listed below for direct links to TEAS and TEASi forms. The State of Arizona Research Library is Arizona's designated Patent and Trademark Resource Center (PTRC). To register a trademark and receive federal protection through the US Patent and Trademark Office (USPTO), a trademark must be in interstate commerce. We're going to talk about how to file your own trademark application with the united states patent and trademark office. This is an entry level class in the Accounting Specialist series.