Aboard starships, the ops manager is stationed at the ops position on the bridge. One most starships that position is next to the flight controller's position at the front of the bridge. But several designs of starships, including the Defiant and Intrepid classes, where the station is located at the back or the side of the bridge.
The position can also be held by an officer of any rank or position. Aboard the USS Enterprise-D and USS Enterprise-E, Lieutenant Commander Data served as operations manager. While aboard the USS Voyager, Ensign Harry Kim was the operations manager. (TNG episode: "Encounter at Farpoint"; and VOY episode: "Caretaker")