Cut the chicken breast into bite-sized pieces.
Make the sauce by mixing gochujang (Korean red chili paste), soy sauce, minced garlic, red pepper powder, and sugar.
Mix the chicken breast with the sauce to coat evenly.
Slice cabbage, onion, and carrot into bite-sized pieces.
Pour cooking oil into a pan and stir-fry the chicken breast and vegetables.
Once the chicken and vegetables are cooked, add rice cakes and mozzarella cheese on top.
Cover with a lid and cook on low heat until the cheese melts.
Transfer the finished Cheese Dakgalbi to a plate.