Many, but not all, car dealerships will buy your car. Practically all of them will accept your car as a trade-in if you are buying a car from them. Used car dealers make their living on buying and selling used cars. If they think can make money on your car, even if it is as a trade-in that puts you in a new car of theirs, it’s a good bet they will buy your car. Luckily there are so many options now for selling your car, you should not have a problem finding a buyer quickly, just with a little research.