Roles and permissions

Bruce,

Try allowing the following: Review course enrolments - moodle/course:enrolreview.

This allows them to view the Participants page and also Gear /Edit > More > Enroled user page. They can view the Enrolment methods page too but they can not edit it (since they don't have enrol/manual:config), only see how many users have been enrolled in which enrolment methods. This works for me in 3.7.

if your role permissions are otherwise working, this should do the trick and the Enrol users button should show up.

Attached is a screenshot of a role I have set up to do a similar sort of task.

Randy