There are some configuration for issue reminder cloud app. You can reach them from the section 'apps' of Atlassian settings. Those configuration is affected by the required permissions.
The periodic reminders can skip not only just Saturday or Sunday but also the entire weekend by choosing two options.
Groups that can create reminders can be restricted. Only ones that is specified here can create reminders. Similarly, groups that view reminder can also be determined.
Users who are in the one of the groups selected for create reminders can see reminders even if they are not in the view reminders group.