NOTICE: No new content has been added since Animal Rescue Korea closed in 2014. Phone numbers, email addresses, shelter policies, and other details may be out of date. Information is kept for historical purposes only.
This page explains the new requirements (as of December 2012) for bringing cats and dogs into Korea.
There is a link in the sidebar to download the quarantine form (.hwp format, Microsoft Word in Korean), which I couldn't open.