“Cure” is the wrong word when it comes to hearing loss. As of right now, there is no known cure for hearing loss, except in exceedingly rare circumstances where hearing loss is temporary due to trauma, infection, or a medical condition. In these instances, sometimes surgery or medication may resolve the underlying condition and reverse any temporary hearing loss.
For instance, if hearing loss is caused by damage to the outer ear, reconstructive surgery may resolve hearing loss. Similarly, if hearing loss is caused by an infection and medication is prescribed for the infection, the medication may resolve the resultant hearing loss as well.