01 - Set oven temperature to 400°F.
02 - Pat rack of lamb dry; season evenly with salt and black pepper.
03 - Heat 1 tablespoon olive oil in an ovenproof skillet over medium-high heat. Sear lamb fat side down for 2–3 minutes until browned, then flip and sear the opposite side for 1–2 minutes. Remove from heat.
04 - Combine Dijon mustard, remaining olive oil, minced garlic, rosemary, parsley, thyme, and lemon zest in a small bowl.
05 - Brush herb mixture evenly over the seared lamb, pressing gently to adhere.
06 - Place skillet with lamb into preheated oven and roast for 15–20 minutes for medium-rare, targeting internal temperature of 130–135°F, or adjust to preferred doneness.
07 - Remove lamb from oven, tent loosely with foil, and let rest for 10 minutes before slicing into chops.
08 - Add lemon wedges and extra chopped herbs as desired; serve immediately.