Your duties as an international graphic designer are similar to any other graphic designer. Principally, your responsibilities are to work with clients overseas to design and create artwork for a website, a specific project, such as billboard designs or print advertisements in local media, or to develop logos for a brand that appeal to a local population abroad. You work closely with your client or employer as well as copywriters and account managers. The “international” in this title likely does not refer to international travel, but rather the ability to tailor imagery and messaging to audiences overseas.