Sustainable Shark Fisheries and Trade Act of 2019 This bill revises provisions regarding shark conservation and fishery management. The bill requires any country that seeks to import shark products into the United States to obtain a certification from the Department of Commerce that the country has a regulatory program in effect to provide for the conservation and management of sharks, including measures to prohibit the removal of any of the fins of a shark (including the tail). Commerce must revise its regulations to include rays and skates as species that are subject to the Seafood Traceability Program. (The Seafood Traceability Program has data reporting and recordkeeping requirements at the time of entry for imported fish or fish products entered into U.S. commerce.)