There is an ability to setup people in the supervisor role which then gives them access to the supervisor game list report. I know that's not explicitly assigning the supervisors to specific games, however, it does give them the ability to quickly filter assignments by position and/or qualification so that they can focus on those needing the supervisions.
We'll continue to monitor this thread to see if it gains momentum (more votes). In theory it would be possible to achieve but somewhat difficult.