I never understood why a free-fall from space with a parachute would not work. (I bring this up because I would propose bringing down sections of ISS with extremely large parachutes.) I get there is no air in space, and how thin it is as you approach the Earth's surface. But it is a gradient after all. If a falling body begins to heat up, that suggests it has entered a region with some atmosphere — and so some parach…
Consider that landing on Mars is difficult: it has enough of an atmosphere to be a problem (lots of heat on re-entry), but too thin to be useful (limited drag).
With that in mind, my guess is that the ISS would heat up faster than the parachute would slow it down.