Jira administrators can configure available checklist item statuses or disable them altogether. This can be done via Jira Settings → Apps → Checklists → Checklist item statuses.
To disable checklist statuses simple toggle the switch Enable statuses at the top of the page. The Create status allows addition of the new statuses. Existing statuses can also be modified as needed. Their name, connected color and item state can be adjusted. They can also always be deleted. Upon deletion of the status, it will be removed from all checklist items that had it assigned.
The item state option controls the behavior of the item checkbox upon selecting the chosen status. Selecting the given status will either check or uncheck the checkbox, depending on the setting.