In a medium bowl, stir together the olive oil, lemon juice, lemon zest, parsley, mint, chives, garlic, and salt. Place in the refrigerator until ready to serve.
In a large bowl, toss the lamb chops with the salt, pepper, garlic, and paprika. (Optional: Let the seasoned chops sit for 30 minutes at room temperature before cooking.)
Heat the avocado oil in a large cast iron skillet over medium high heat. Once the pan is hot, place about 4 of the chops on the hot pan (you will have to work in batches). Sear for 2-4 minutes depending on desired doneness.
Once the lamb has a deep brown crust, flip and sear another 2-4 minutes. Repeat with the remaining batches.
Flip the chops on their rounded fat side (see photo above) and render the fat for about 1 minute.
Allow the lamb chops to rest for about 5 minutes. Serve with the sauce.