Whenever the mayor, with the approval of the legislative body, has appointed the members of a parking authority, as provided by Section 32656, the legislative body, after receipt from the parking authority of a resolution adopted by a majority vote of the parking authority consenting thereto, may adopt a resolution declaring itself to be the parking authority, in which case all the rights, powers, duties, privileges, and immunities vested by this part in the members of the parking authority appointed under Section 32656 shall be vested in the legislative body as the parking authority.