They are generally called "supervisors" but many just want to be called by their name.
Vancouver
the judge is the person who manages or oversees the trial
Network Administrator.
Crooked!
My Friend oversaw a person behind him.
The person in Mission Control that oversees all team activities and communications might be called a commander. It is also possible that the person in charge is called a captain or pilot, depending on the situation.
executor
executor
The doctor who administers the anesthetics and other drugs is an anesthesiologist.
The homophone for oversees is overseas
The United States Department of Labor is the division of government that oversees workplace injuries. When a person applies for disability payments, this is the department of the government that will review the claim.
There are no perfect rhymes for the word oversees.