Season chicken cutlets with salt, pepper, and smoked paprika.
Heat olive oil in a large skillet over medium-high heat. Sear chicken on both sides until golden brown and cooked through (about 4–5 minutes per side). Transfer to a plate and keep warm.
In the same skillet, melt butter. Add garlic and sauté until fragrant, about 1 minute.
Pour in chicken broth and scrape up any browned bits from the pan. Stir in heavy cream and Italian seasoning. Simmer for 3–4 minutes until slightly thickened.
Stir in Parmesan cheese until melted and smooth.
Add cooked broccoli and return chicken to the skillet. Simmer for 2–3 minutes to heat through and coat everything in sauce.
Garnish with fresh parsley and serve over rice, mashed potatoes, or pasta.