Heat olive oil in a large skillet over medium heat.
Sauté onion and garlic until fragrant and lightly golden, about 2–3 minutes.
Add sliced potatoes and season with salt, pepper, and paprika. Cook for 8–10 minutes, flipping occasionally, until tender and browned.
Stir in the bell peppers and cook for 3–4 minutes, just until softened.
Add the sausage to the pan and cook until browned and fully cooked through, about 5–7 minutes.
Deglaze the pan with white wine, scraping up any browned bits, and let it simmer for 2–3 minutes.
Sprinkle with shredded cheese, cover the pan, and cook until the cheese is melted.
Finish with chopped parsley.