Fairness for High-Skilled Immigrants Act of 2017 This bill amends the Immigration and Nationality Act to: (1) eliminate the per-country numerical limitation for employment-based immigrants, and (2) increase the per-country numerical limitation for family-based immigrants from 7% to 15% of the total number of family-sponsored visas. The Chinese Student Protection Act of 1992 is amended to eliminate the provision requiring the reduction of annual Chinese immigrant visas to offset status adjustments under such Act. The bill establishes a transition period during which a percentage of employment-based second and third preference (EB-2 and EB-3) immigrant visas are reserved as follows: for FY2017, 15% of such visas are allotted to natives of countries other than the two countries with the largest aggregate numbers of natives obtaining such visas in FY2011; for FY2018, 10% of such visas are allotted in each category to natives of countries other than the two with the largest aggregate numbers of natives obtaining such visas in FY2012; and for FY2019, 10% of such visas are allotted in each category to natives of countries other than the two with the largest aggregate numbers of natives obtaining such visas in FY2015. During the transition period, not more than 25% of the total number of the reserved EB-2 and EB-3 visas shall be allotted to natives of a single country. For FY2015-FY2017, not more than 85% of the unreserved EB-2 and EB-3 visas shall be allotted to natives of a single country. Amendments made by this bill shall apply beginning in FY2017.