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Step 1
Place a large cast-iron skillet about 7 inches from your oven’s heat source (likely the top rack). Preheat the oven to broil.
Step 2
Meanwhile, in a small bowl, combine the olive oil, garlic, rosemary, lemon juice and zest, kosher salt, and pepper. Rub the mixture on both sides of the lamb chops.
Step 3
Once the broiler has preheated, place the lamb chops in the skillet and roast under the broiler for 4 to 5 minutes, until the lamb has reached your desired doneness.
Step 4
Remove the skillet from the oven and place the lamb chops on a plate. Immediately add the arugula to the hot skillet and toss in the pan juices for about 1 minute, until slightly wilted.
Step 5
Transfer the arugula to the plate with the lamb chops and sprinkle with 1/2 teaspoon of sea salt.