“Can you live a normal life after thyroid removal?”

Yes

Thyroid removal is indicated in situations where the thyroid is grossly enlarged causing obstruction to swallowing and breathing or when biopsy has revealed thyroid cancer. Surgery should be performed by physicians specialized in this type of procedure, preferably at a major hospital center. The neck has many delicate structures that must be ptotected. Removal of the thyroid gland does not interfere with normal activities providing that the patient supplements thyroid hormone with a pill prescribed and supervised by their physician. Blood testing for thyroid hormone levels after surgery will be performed several times a year to confirm that the dosing is appropriate.

Relative to activities of daily living, sure.