(1) The council shall appoint a chief administrative officer of the city who shall be the city manager, and who shall serve at the pleasure of the council.
(2) The manager shall be selected on the basis of training, experience, and other administrative qualifications for the office and without regard to such person's political or religious preference or such person's place of residence at the time of appointment.
(3) No council member shall be eligible for the position of manager within two (2) years after the expiration of the member's latest councilmanic term.