When we talk about cure, we are referring to eliminating the root cause of the disease itself.
Fatty liver is an accompaniment of metabolic syndrome i.e. obesity, diabetes (insulin resistance), hypertension & dyslipidemia (commonly known as hypercholesterolemia). This is brought on by years of unhealthy lifestyle, consuming excess refined & processed food (junk or fast food), lack of adequate exercise & sleep, inability to cope with stress, smoking & alcohol consumption etc.
However, the body has an immense capacity to heal itself and regenerate if only provided the opportunity. Eating the right food in the right quantity at the right time (food as close to its natural state as possible), regular exercise, practising mindfulness and relaxation techniques, avoiding toxins such as alcohol can help undo the damage. This may take time but the effects are more rewarding and lasting than medication.
It is important to know that medicines may form an important part of the treatment along with lifestyle management. Your doctor is the correct person to advise you regarding the need for medication.