01 - Heat a large skillet over medium-high heat. Add the butter and let it melt completely. Add the sliced kielbasa in a single layer and cook until golden brown on both sides, about 4 minutes. Remove the sausage from the skillet and set aside on a plate.
02 - In the same skillet with the rendered drippings, add the chopped onion and sliced potatoes. Cook for 6–8 minutes, stirring occasionally, until the potatoes begin to soften and develop a light crust.
03 - Stir in the minced garlic, diced bell pepper, and broccoli florets. Sauté for 3–4 minutes until the garlic is fragrant and the vegetables have begun to tenderize.
04 - Return the browned kielbasa to the skillet. Sprinkle the smoked paprika, dried oregano, salt, and black pepper evenly over the top. Toss everything together until well combined and evenly coated with the seasonings.
05 - Reduce the heat to low. Sprinkle the shredded cheddar cheese evenly across the entire surface of the skillet mixture. Cover with a lid and let cook for 3–5 minutes, or until the cheese is fully melted and the potatoes are fork-tender.
06 - Remove the lid and garnish with fresh chopped parsley if desired. Serve immediately while hot, straight from the skillet.