"supervising role" is correct and commonly used in written English.
It refers to a position or responsibility in which one oversees or manages others. Example: As a manager, I have a supervising role in the company and am responsible for overseeing the work of my team.
"Older drinkers played an informal supervising role.
In 2007, I had a job with a cleaning company and worked my way up to a supervising role.
Established process models for knowledge discovery find the domain-expert in a customer-like and supervising role.
All the known and relevant process models for knowledge discovery find the (medical) domain-expert in a customer-like, supervising role [3, 42].
It was Dr. Emily Whitgob's first year in a supervising role at Stanford Hospital when she first encountered discrimination from a patient.
SW: Distributed questionnaires and had a supervising role in preparing the final manuscript.
This week the supervising adult role was left to Mike and he's more of a plot device (he nearly got everyone killed on a mission the other week) than a character.
To indoctrinate the thousands of new salespeople who have joined Wells in the past three years, the bank sends them to dozens of training centers where fellow workers, now numbering 850, supervise role-playing sales sessions for three weeks.
The accusations stem from Dr. Henry's role supervising orthopedic residents, or surgeons in training, at the University of Louisville.
Within days, he arranged for Mr. Wang to be removed as police chief and demoted to a lesser role supervising education and science, without seeking the approval of the Ministry of Public Security, the document adds, "as rules dictated".
In Denmark, Gen. Nizar al-Khazraji, 64, a former chief of staff of the Iraqi Army, was charged with crimes against humanity and violations of the Geneva Convention for his supposed role supervising an officer who killed civilians in Iraq in 1988.
