01 - Preheat oven to 400°F.
02 - Pat the lamb rack dry with paper towels. Rub all over with 1 tablespoon olive oil, then season generously with salt and pepper.
03 - Heat a large ovenproof skillet over medium-high heat. Sear the lamb rack fat side down for 2–3 minutes until well browned. Turn and sear the remaining sides for 1–2 minutes each. Remove from heat.
04 - In a mixing bowl, combine breadcrumbs, parsley, rosemary, thyme, garlic, Parmesan, lemon zest, and 2 tablespoons olive oil. Mix until the crumbs are evenly moistened.
05 - Brush the seared lamb with Dijon mustard, covering the fat side evenly.
06 - Press the herb crumb mixture firmly onto the mustard-coated fat side of the rack, ensuring an even layer.
07 - Place lamb in the skillet or transfer to a baking tray. Roast in the preheated oven for 15–20 minutes for medium-rare (internal temperature of 135°F).
08 - Remove from oven and tent loosely with aluminum foil. Let rest for 10 minutes to allow juices to redistribute. Slice between the bones and serve immediately.