What medication can cure eczema permanently?

There is no miracle cure for eczema. It may disappear in time, but that real issue is controlling the chronic itch and preventing secondary infections that result from scratching. There are modern biofunctional garments that do thsi very effectively, and the best is DermaSilk. It has been shown in clinical trial to prevent the itching and it alsio has an antimicrobial bonded to the silk fibres that kill any yeast or bacteria so it prevents secondary infections. It's approved as a Class 1 medical device for prescription use.