Certified GKH Gardening Expert
If it is a tropical hibiscus, the best way to care for it is by keeping it as a houseplant. Give it as much light as possible and be sure not to overwater. Also see this article:
If this is not possible or if it is a hardy (non-tropical) hibiscus, you can overwinter it in a garage or basement, as long as the temperatures don't drop below freezing. Giving the plant at least some light will help, but the plant will probably lose all its leaves.