You could try having a serious, heart-to-heart conversation with your parents. If that is not an option, then consider writing them a detailed letter about how you’re feeling. Writing a letter gives you an opportunity to thoroughly explain your experience with depression. It would help to include a statement regarding the seriousness of depression and that excellent treatments are available.
You may want to consider giving them this letter and my response. It might convince them that you could benefit from professional help.
Your parents seem as though they are trying to “push” you out of your depression. They may believe that forcing you out of your “comfort zone” will help you to overcome your symptoms. On one hand, their strategy may not be totally off base. You have gotten to the point where you don’t like leaving your room. Limiting your activities to only those that are within your “comfort zone” reduces your anxiety but it reinforces your fears. Avoiding uncomfortable activities makes your symptoms worse.
On the other hand, their attempts at helping are causing you significant distress and it does not seem to be working. It is also driving you away from them rather than bringing you closer.
Professional help from a mental health professional is what is needed in this situation. Ask your parents if they would be willing to take you to a therapist. A therapist can assist both you and your family in understanding and correcting this situation. Individual therapy and family therapy may both be helpful. Please take care.