J.C.
It is my understanding that anorexia is a psychological disorder where people have a distorted body image (thinking they are too fat) and therefore starve themselves to reach their goal of obtaining thinness. Your poor father has esophageal cancer and liver disease. I would imagine it is very difficult for him to swallow food. I know how I feel when I am sick with a cold or stomach virus and how nothing appeals to me and I simply don't feel like eating. Now I am trying to imagine having liver disease and cancer and I can understand why he does not want to or simply can't eat. Have you ask your father's doctors what his prognosis is. Often times when someone is nearing the end of their life (I am not saying this is the case with your father since I am not a doctor and only know what you have written) they loose their appetite as their body starts to shut down. I had an aunt that this happen to and it upset me greatly to see family members shoving food into her mouth. She ended up spitting most of it out anyway and that one spoonful of mashed potatoes certainly did not enhance her quality of life during the time she had left in my opinion.
I sincerely hope that your father gets better but please do not argue with him about food. Just make him as comfortable as possible as he works through these horrible diseases.
Your father and family will be in my prayers.