Here is the wiring harness I found for a 63 SS console -I have 62's but I worked on 2 -63 SS cars installing the interior and consoles
This a American Autowire wiring harness (the same ones I use on my cars)
https://www.lategreatchevy.com/full-size-chevy-console-wiring-harness-super-sport-1963.html
This wiring harness plugs into the door switch wiring (white wires) and jumps the power to the console from that wiring behind the kick panel. Non SS cars have a white wire running to the door switch that turns on your interior lights when you open the door.
My pictures are from my 62 SS convertible and my friends 62 SS convertible
The console reproduction wiring harnesses are covered in a heavy fabric cover under the carpet and are clamped(clamps screwed to the floor)to the ridge by front of the front seat. The console wire also runs inside the factory plastic protector along the rocker for wiring to the rear of the car(see the picture)
My pictures show a orange and a white wire -those wires are from the console. The orange wire from the SS console is hooked to power (the red wire) on the circuit breaker switch mounted to the kick panel area. The white wire (you can't see the plug in) to the door switch.
This switch is used for connections for Power convertible top, Power windows, power seats and I think is used on 61 to 64's. If you do not have any of these factory accessories I don't think you would have the circuit breaker switch. The wiring harnesses for the accessories I listed are made to fit these circuit breaker switches.
Paul