When a car insurance company settles with a person on a vehicle that has been determined a total loss for the actual cash value of the car then unless you have negotiated with the insurance company to buy back the car (now with a salvage title) for the salvage value it becomes the property of the insurance company.

The insurance company has paid you for the vehicle so it becomes their property. They may sell it for salvage and recoup some of the monies they paid out for the total loss claim. You can try to negotiate for any accessories that you may want off the vehicle, but once you are paid for your total loss the vehicle is the insurance company's property.