This page will guide you through the rules and requirements for traveling from the United States to Korea with your pet. Fill out this no-obligation pet travel form.This is not a contract; it is a means for us to give you additional information and an accurate estimate. This table compares all 50 states' service animal laws for several categories. Travel Requirements Based on Pet Type. Carefully read ALL of the requirements related to your pet on this page. There are currently only two ports of entry for pets (dogs and cats) into the Republic of Korea (ROK). Fill out the form and sign it with your signature. Customs clearance is required upon entry into Korea. Defense Secretary Jim Mattis said last week that the return of the 55 boxes was a positive step but not a guarantee that the bones are American.