If you're talking about the Google Nest Outdoor Camera, the cable does NOT unplug from the camera. There's a 10-foot (3 meter) "captive" cable that's permanently attached to the camera. It plugs into an outdoor power adapter that is attached to a 15 foot power cord. You can unplug the 10-foot cable from the power adapter and pull it through the wall (if you need to) and move the 15-foot power cord and connect them all in the new location. It takes a 7/8-inch hole to feed the 10-foot captive cable through the wall due to the plug on the end of the cable.
I just wanted to jump in real fast to see if you saw MplsCustomer's reply and to see if you still needed some help on this or if you were able to get it sorted out. If you are still needing some help, just let us know and we'll be happy to continue helping.
I appreciate the help here, MplsCustomer.