The board of supervisors or governing body of any county or city within which any park forming a part of the State park system is established, may relinquish any road, highway, or trail, or portion thereof, or right of way therefor, existing within the park, to the authority charged by law with the management and control of the park. Jurisdiction over any such road, highway, or trail shall vest in the park authority, upon the acceptance by it of the road, highway, trail, or right of way.