Pat the chicken breasts dry and season both sides with salt, black pepper, and paprika.
Heat olive oil in a large skillet over medium-high heat. Sear the chicken for 4–5 minutes per side until golden. Remove and set aside.
Lower heat to medium and melt butter in the same skillet. Add garlic and cook for 1–2 minutes until fragrant.
Stir in Dijon mustard, red pepper flakes, parsley, and dill.
Add lemon juice, chicken broth, and heavy cream. Stir until smooth and simmer for 2–3 minutes.
Return chicken to the skillet, spoon sauce over it, cover, and cook 8–10 minutes until fully cooked. This step completes the Cowboy Butter Chicken perfectly.
Garnish with parsley and serve hot.