Chosen Solution

The damage is as follows:

The white part next to the ribbon cable went off of the motherboard after following Step 22 of this guide: PlayStation 3 Teardown

@thepwrtank18 let’s see what the connector on the motherboard looks like. It might be possible to either resolder the one you have or to find a replacement connector. It all will depend on what the damaged area looks like. It is possible that you may have to rebuild some traces or solder pads but it may also be a straight forward solder job. So, post some pictures of the damaged side.