Final answer:
Obedience to a manager's authority aligns with Fayol's principle of discipline, considering the importance of maintaining order and authority within an organization.
Step-by-step explanation:
Obedience to a manager's authority is most consistent with Fayol's principle of discipline. Henri Fayol's administrative theory includes several principles aimed at improving managerial effectiveness. Discipline, as a principle, refers to obedience, proper conduct, and respect for agreements which are necessary for the functioning of any organization. A hierarchy of authority establishes the chain of command that must be followed within an organization. Managers are seen as figures of authority whose commands need to be obeyed by subordinates. This is in line with Fayol's views, where maintaining discipline ensures the smooth operation of the organization and adherence to its rules and commands.