Final answer:
The Anesthesia Care Provider must give permission before any change is made in a patient's position to ensure the patient's safety while sedated.
Step-by-step explanation:
The person who must give permission before any change is made in a patient's position during a surgical procedure is C) Anesthesia Care Provider. This is because the anesthesia staff are responsible for managing the patient's vital functions and ensuring their safety while sedated. They need to confirm that any changes in the patient's position won't affect the patient's airway, breathing, circulation, or the delivery of the anesthetic. Coordination with the surgeon and nurse is also crucial, but the ultimate permission for position changes while the patient is under anesthesia typically comes from the anesthesia care provider. The nursing staff also reviews confirmation of sterility, equipment availability, and other concerns.