Never seen chicken socks, but I know there are dog booties. That is probably where you got the Idea.
Best thing for your chickens feet is dry surface for then to walk on. The roost is also important for cold weather tolerance.
A wider board like a 2x4 placed flat side up is better than one placed the 2 inch side up. Chickens sit on their feet and their body keep their feet warm. Feathers keep warmth in, close to chickens body.
Not sure where your location is, ( we only need to know general area, not YOUR ADDRESS) , But in cold areas during winter it is good to feed your chickens cracked corn.. It provides needed calories that easily produce body heat.
Wishing you best ....