Fallen Servicemember Respectful Return Act - Requires that, when transportation of the remains of a deceased member of the Armed Forces who dies during active duty or inactive-duty training includes transportation by aircraft, the Secretary of the military department concerned shall provide for the delivery of such remains to the commercial, general aviation, or military airport nearest to the place selected by the deceased's designee, or if such a selection is not made, nearest to the cemetery selected by the Secretary.