American Security Drone Act of 2019 This bill bans the procurement or use by the federal government of commercial off-the-shelf drones or other unmanned aircraft systems manufactured or assembled by certain entities, including entities subject to influence or control by China, with exceptions. Federal funds may not be used to purchase or operate such a drone or system, or a system to counter unmanned aircraft systems, that is manufactured or assembled by such an entity. The Government Accountability Office shall report regarding such drones or systems procured by federal agencies from foreign entities.