Marinate Chicken: Mix olive oil, paprika, garlic, lemon juice, salt, and pepper. Coat chicken and refrigerate 30 min.
Cook Chicken: Grill or pan-sear until fully cooked, then slice thinly.
Cook Pasta: Boil pasta in salted water until al dente; drain, reserving ½ cup pasta water.
Make Sauce: Melt butter with olive oil, sauté garlic, add cream, and stir in Parmesan. Season with salt and pepper.
Combine: Toss pasta in sauce, add chicken and sun-dried tomatoes. Use reserved water to loosen sauce if needed.
Serve: Garnish with parsley and extra Parmesan. Serve hot.