This page will guide you through the rules and requirements for traveling from the United States to Korea with your pet. Find information on key laws and resources for people with disabilities who use service animals living in Texas.Yeah. to import into South Korea, your service animal needs to be microchipped. Be up to date on rabies vaccine. Customs clearance is required upon entry into Korea. This document is a pet sitting service agreement between a pet owner and Lisa's FurBabies pet sitting service. Travel Requirements Based on Pet Type. Carefully read ALL of the requirements related to your pet on this page.