Heat a large skillet over medium-high heat and add a tablespoon of olive oil. Add sliced kielbasa and cook for 4–5 minutes until browned. Remove and set aside.

In the same skillet, add more olive oil if needed and toss in broccoli florets. Sauté for 3–4 minutes until vibrant green and slightly tender.

Stir in minced garlic and cook for 1 additional minute, being careful not to let it burn.

Pour in heavy cream and chicken broth to deglaze the pan. Sprinkle in Italian seasoning, salt, and pepper, then simmer gently.

Gradually stir in shredded cheddar cheese until melted and sauce is creamy.

Return browned kielbasa to the skillet, ensuring it's well-coated in the sauce. Heat together for another minute.

Stir in a tablespoon of butter until melted for an indulgent finish.

Allow the skillet to simmer for another 2–3 minutes. Serve garnished with extra cheddar cheese, if desired.