Season the chicken: Pat chicken dry. Season both sides with salt, pepper, Italian seasoning, and smoked paprika.
Sear the chicken: Heat 1 tablespoon olive oil and the butter in a large skillet over medium-high. Add chicken and sear 4–5 minutes per side until golden.
Transfer to a plate; tent with foil.
Sauté the aromatics: Lower heat to medium. Add remaining 1 tablespoon olive oil. Stir in garlic; cook 30 seconds until fragrant, not browned.
Build the sauce base: Stir in tomato paste and cook 1 minute to caramelize.
Whisk in chicken broth, scraping up browned bits.
Make it creamy: Reduce heat to medium-low. Pour in heavy cream and whisk until smooth. Add Parmesan and red pepper flakes.
Simmer gently 2–3 minutes until slightly thickened.
Add tomatoes and basil: Stir in cherry tomatoes and most of the basil. Simmer 1 minute to soften tomatoes without breaking them down.
Finish the chicken: Return chicken and any juices to the skillet. Spoon sauce over the top.
Simmer 3–5 minutes, or until chicken reaches 165°F internally and sauce coats the back of a spoon. Adjust salt and pepper. Squeeze a little lemon if you like.
Serve: Top with remaining basil.
Serve over zucchini noodles, cauliflower rice, or sautéed spinach, with extra sauce spooned on top.