It makes sense that you do not want to be in the presence of your parents. As you said, their fighting makes you feel uncomfortable. Most people would feel the way you do. No one wants to be in the presence of continuous arguing. It’s very unpleasant.
What is less clear is why you feel as though your parents don’t love you. Are you blaming yourself for their fights? Perhaps you believe that if they loved you, they would not fight. Try not to take their arguing personally. In all likelihood, it has more to do with their dissatisfaction with each another than to do with their love for you.
I would encourage you to tell your parents how you feel. It is important to be honest and to voice your opinion. Their continuous arguments are negatively affecting your life and they need to be made aware of this fact. They likely are unaware of how their behavior is affecting you. If you have difficulty speaking to them in person about these issues, then consider writing them a letter. Sometimes people feel more comfortable writing about their feelings than they do stating them in person.
You might also benefit from returning to therapy, at least for a few sessions. It seems as though you could use the support of a therapist at this time. The therapist could also provide guidance with regard to how to approach your parents, how to better understand this situation and how to adjust your feelings accordingly. Please take care.