It is possible to unplug a site from the API. The operation will act at the DNS level. The traffic will then be routed to the origin. 

You will find the API token on your dashboard and the identifier of your configuration in the dashboard URL of your configuration. For example, https://www.fasterize.com/en/website_configs/1/dashboard has for configuration ID 1. 
# Unplug a domain

 curl -i -H 'Content-Type: application/json' -H 'Authorization: $myApiToken' -X PATCH https://api.fasterize.com/v1/configs/$config_id/ -d '{"deployRatio": 0 }'



# Plug a domain

 curl -i -H 'Content-Type: application/json' -H 'Authorization: $myApiToken' -X PATCH https://api.fasterize.com/v1/configs/$config_id/ -d '{"deployRatio": 100 }'