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