The phrase "to oversee the agency" means to have the responsibility of supervising and managing the activities of an organization or group. Full definition
The job included overseeing the agency's annual budget, officials said. (newsday.com)
Ensure compliance with standards, laws, and regulations with respect to the appropriate overseeing agencies. (jeffthecareercoach.com)
When they first discussed the MTA chairmanship, Prendergast agreed to oversee the agency for about three years, Cuomo said Monday at his midtown offices. (newsday.com)