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Hopefully your Rose Of Sharon is planting in an area that is out of harsh wind.
Water the plant up until ground freeze.
Adding a layer of leave mulch will help and you can make a protection circle of burlap.

Snow cover is one of the best insulators.

Here are some links for you.

https://www.gardeningknowhow.com/garden-how-to/info/wrapping-plants-in-burlap.htm

https://www.gardeningknowhow.com/ornamental/shrubs/rose-of-sharon/rose-of-sharon-bush.htm

You can trim it that way if you would like. It is a good way to rejuvenate the plant. This article can give you some other methods:
https://www.gardeningknowhow.com/ornamental/flowers/hibiscus/tips-for-pruning-hibiscus-plants-when-to-prune-hibiscus.htm

I would look for one with a higher phosphorus (middle number), as this would promote healthier and more blooms. You can also use a "bloom booster" fertilizer or add some bone meal to the soil to help add some phosphorus. This article may also help: https://www.gardeningknowhow.com/ornamental/flowers/hibiscus/hibiscus-fertilizing.htm

I would prune away the dead and damaged branches.
Reducing the shrub by 1/3 will help lessen the stress as it recovers.
Loosen the root ball and reset the plant into the ground if possible.
Tamp down the soil to firm up the planting hole.

Here are some links with care information.

https://www.gardeningknowhow.com/ornamental/shrubs/rose-of-sharon/pruning-rose-of-sharon.htm

https://www.gardeningknowhow.com/ornamental/shrubs/rose-of-sharon/rose-of-sharon-bush.htm

Here is an article that will help you with pruning and the best process for your plant.

https://www.gardeningknowhow.com/ornamental/shrubs/rose-of-sharon/pruning-rose-of-sharon.htm

Thank you for sending us your gardening question. Rose of Sharon is actually a variety of hardy hibiscus. Therefore, pruning takes place in spring--specifically anytime from late March through early May, before the leaf buds open. Overgrown shrubs can be pruned back to about three feet in height without risk of injury. Then you should perform annual trimming to to keep its appearance maintained, removing any unsightly or overgrown branches only.

This article will help with pruning: https://www.gardeningknowhow.com/ornamental/shrubs/rose-of-sharon/pruning-rose-of-sharon.htm