01 - Place a large skillet over medium-high heat. Add the butter and allow it to melt completely, swirling to coat the bottom of the pan.
02 - Add the sliced kielbasa in a single layer and cook until golden brown on both sides, approximately 4 minutes. Remove the sausage from the skillet and set aside on a plate.
03 - In the same skillet, add the chopped onions and sliced potatoes. Cook for 6 to 8 minutes, stirring occasionally, until the potatoes begin to soften and develop a light golden crust.
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 heat to low. Sprinkle the shredded cheddar cheese evenly over the entire mixture and cover the skillet with a lid. 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 freshly chopped parsley if desired. Serve immediately while hot.