Neither the Mayor, the City Council, nor its individual members shall direct or request the appointment of any person to, or removal from, office or employment by the City Manager or by any other authority, or except as provided in this Charter, participate in any manner in the appointment or removal of officers and employees of the City. Except for the purpose of inquiry, the City Council and its members shall deal with the administrative service solely through the City Manager; and neither the City Council nor any member thereof shall give orders on administrative matters to any subordinate of the City Manager, either publicly or privately. Violation of any of the provisions of this section by the Mayor, City Council or Councilmember shall constitute grounds for removal.