First, If I were selling it myself, a car on a dealer's lot is not worth more than the same car sitting on my property. Someone doesn't like that, they can go buy a car somewhere else, makes no difference to me.
Second, I wouldn't even bother with selling a car that old. Deal with used car buyers for an indeterminate time for a thousand bucks or so? Not a chance. Not worth it. I'd rather slam my hand in a car door on a cold day.
Trade it and let the dealer wholesale it for a few hundred, keep it as a spare beater, or donate it to charity or give it to a family member or some other person that needs a serviceable old car.