In a small bowl, combine the ingredients to marinate the lamb chops; olive oil, garlic, lemon juice, rosemary, thyme, cayenne pepper, salt, and black pepper.
Pour the marinade over the lamb chops and coat them well. Allow the lamb chops to marinate for at least 30 minutes or overnight.
Place the lamb chops on the griddle or grill pan and cook for 8-10 minutes until the lamb is cooked through, turning the chops often.
Meanwhile, prepare the herb sauce; in a food processor, combine parsley, mint leaves, olive, garlic, lemon juice, salt, and pepper. Process until smooth and transfer it to a bowl.
Once done, place the chops on a serving plate and drizzle the herb sauce on top. Garnish the chops with fresh parsley and serve with lemon wedges.