Which fascia encloses the thyroid and is responsible for its movement while swallowing?

The answer to this is Pre-tracheal Fascia. This is located in the neck area and this envelops the thyroid gland is enveloped in this fascia. It is one of the compartments responsible for protecting the trachea, larynx, pharynx, and esophagus.

Whenever a person swallows, this pre-tracheal fascia also moves along. This is known to assist in the formation of the carotid sheath. These are connected to some cartilages and to the pericardium. This is the reason why the thyroid glands move along whenever a person will swallow.