Countering Turkish Aggression Act of 2019 This bill directs the President to impose sanctions related to Turkey. The President shall impose property- and visa-blocking sanctions on (1) specified officials of Turkey's government, such as the president and vice president of Turkey; (2) any foreign person that knowingly sells to, provides support to, or conducts a transaction with Turkey's armed forces; and (3) any foreign person that supplies goods or services that support petroleum production for use by Turkey's armed forces. The President may temporarily stop the application of such sanctions upon certifying to Congress that Turkey (1) is not operating in certain parts of Syria without U.S. support, and (2) has withdrawn its troops and Turkey-supported rebel groups from occupied areas. The President shall impose additional sanctions on Turkey based on Turkey's purchase of a surface-to-air defense system from Russia. No funds may be obligated or expended to transfer to Turkey's armed forces any U.S. defense articles, services, or technology.