We do not have enough details of your son's illness, exactly how sick he is, how far he has progressed, if he has other complications or diseases, or anything other than he is in the hospital with alcoholic hepatitis. Also, we are not doctors.
That being said, the liver does try to repair itself from injury and regenerate. It can only do this if the person refrains from injuring it further with alcohol, drugs, other toxins, etc.