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).
Template can be made public, which gives all users in your Jira rights to use it. It does not give right to edit templates.
Alternatively, access can be given to specific groups. To do this, add a group to shared group. Editing right is granted separately by checking the box next to a group name.
Only Jira administrator and template creator of the template can edit it at all times, but to use it, template must be public, or user must be a member of a shared group.
