Federal Refrigerant Management and Stewardship Act of 2017 This bill directs the General Services Administration to issue guidance relating to the procurement of reclaimed refrigerants to service existing equipment in public buildings. Such guidance shall give preference to the use of reclaimed refrigerants if: (1) the refrigerant has been reclaimed by an individual or entity that is certified under the laboratory certification program of the Air Conditioning, Heating, and Refrigeration Institute; and (2) the price of the reclaimed refrigerant does not exceed the price of a newly manufactured refrigerant.