Hitch mounted motorcycle carriers require 2 inch trailer hitches installed on the vehicle which aren't available for smaller vehicles like your 2013 Honda CR-Z. The Curt Hitch part # C11077 is a confirmed fit for your vehicle and would allow you to tow a small trailer for the motorcycle but it's not strong enough to support the weight of a motorcycle plus a carrier.
You'd need trailer wiring part # C59496, ball mount # C45520, and hitch ball part # A-82 to do this as well. view full answer...