Hi Kathleen,
I'm a bit unclear about the context, but just recently I found out on this forum that there is an auto enrol plugin enabling all the users to enrol without clicking the enrol me button.
Also, we use a permission/capability to allow coordinators in local offices to manage sessions for local training - View courses without participation but that allows them to view the course without being enrolled so I'm not sure how useful this is...
Would you want/need to restrict this capability only to administrators?
Best,
Vlad