Foxtail Palms Damaged By Cold?

I have two foxtail palms that have suffered from this year's rough winter. All the fronds have died and I have cut them off. I then cut about 6" from the top of the stalk to see what it looked like inside. When I peel back the previous year's frond shaft, it's still fresh and fuzzy like it's alive, but I'm not sure. How do I know if my palms are going to recover or when it's time to remove them?