USDA APHIS Veterinary Services (VS) does not have any animal health requirements related to bringing (importing) a pet cat into the United States (U.S.) from a foreign country.
Please check with the Centers for Disease Control (CDC) as well as the U.S. Fish and Wildlife Service (FWS) as they may have regulations related to importing a cat into the U.S.
When available, you will find additional information about bringing a cat into a particular state on that state's Department of Agriculture website. If information about traveling with a cat is not found on this site, you should contact the State Department of Agriculture or the State Veterinarian’s Office in your destination state directly to determine if there are any import requirements.
Airlines may have separate and additional requirements. Check with your airline to determine what requirements they may have, if any.