You can archive a styleguide from the “Styleguides” tab of your workspace if you're the Owner or an Admin. Hover over a styleguide and select “Archive Styleguide” under the Settings menu:
️☝️ For the organization Styleguides, members with an Editor role or higher can activate them.
Archived styleguides are still stored in the cloud, but they're not accessible to you or your teammates. The projects linked to those styleguides can not access either.
When you archive a parent styleguide, all its child styleguides will also be archived without losing their parent-child relationships.
You can reactivate the archived styleguides at anytime, as long as you have a subscription with enough styleguide slots.