You can restrict use of any template by editing its access rights.
To edit template access, click 'Templates' in Jira main menu. In the list of templates, open template you want to edit, and click 'Edit Access' button (see the screenshot below).
A template can be made public, which gives all users in your Jira rights to select it during generation process. It does not give right to edit the template.
Alternatively, access can be given to specific groups. To do this, add a group to shared groups list. Editing right is granted separately by checking the box next to a group name.
Only Jira administrator and creator of the template can edit it from 'Templates' page.
