Pat lamb chops completely dry with paper towels and season generously with kosher salt, black pepper, and smoked paprika. Bring to room temperature for 30 minutes.
Heat a cast iron skillet over high heat for 2-3 minutes. Add olive oil and heat until shimmering.
Place lamb chops in the hot pan and sear undisturbed for 3-4 minutes per side until a deep golden crust forms.
Reduce heat to medium. Add butter, garlic, rosemary, and thyme to the skillet.
Baste the lamb chops with the foaming garlic herb butter for 1-2 minutes.
Transfer chops to a warm plate and rest for 5 minutes.
Squeeze fresh lemon juice over the chops, scatter chopped parsley and red chili flakes, and serve immediately.
Notes
Serve with creamy mashed potatoes or roasted vegetables for a complete meal.