Airport Public-Private Partnership Act of 2014 - Revises provisions regarding a pilot program on airport privatization to delete provisions: (1) limiting the number of airports in the pilot program to not more than 10; (2) requiring that if applications are approved with respect to 5 airports, 1 of the airports must be a general aviation airport; and (3) prohibiting the approval of more than 1 application submitted by an airport that had 1% or more of the total passenger boardings in the United States in the preceding calendar year.