How can I remove the API connection for one or more properties?

 Q: How can an API connection be removed only for select properties?

A: Go to Setup --> Properties.

1) Create a temporary property called "Removed Listings" (Actions button --> Add Property)
2) Next to each property containing the listing to remove, click the small "move" link below the feed.
3) Use the dropdown to choose the new "Removed Listings" property, then scroll to the bottom and choose Move All Selected Feeds and Leave Active
4) Once you have moved all the feeds, make the Removed Listings property inactive.