Navigate to the “Global Permissions” within the Jira System settings (Settings > System > Global permissions).
At the bottom, you will find:
“Deep Clone for Jira - Single/Epic Clone” global permission
Granted to all users by default. In addition, only logged-in users can use Deep Clone on issues that they have the "Browse project" permission for.
You can also grant the project permission instead. Either global or project permissions are needed, not both.
“Deep Clone for Jira - Bulk Clone” global permission
“Deep Clone for Jira - Project Clone” global permission
Granted to all administrators by default, but can be extended to other users as well. In addition, only logged-in users can use Deep Clone on projects that they have the "Browse project" permission for.
Note that no further permissions are needed to clone projects, so you can allow non-admin users to clone company-managed projects.