Start by removing Lamb Chops from your refrigerator for at least 10 minutes (just to take the chill off). Pat dry with a paper towel to remove any excess moisture. Preheat oven to 200 degrees (or "keep warm" setting).
Heat a large frying pan or cast iron skillet over high. When hot, add unsalted butter or olive oil, add lamb chops. Only do half at a time to ensure you don't overcrowd the pan or bring down the temperature too much by adding a substance much cooler.
Cook Lamb Chops on each side for 2-3 minutes per side depending on the thickness of your cut. Remove Lamb Chops to a baking sheet and place in the oven to keep warm. Repeat with next batch. Place completed Lamb Chops on baking sheet in the oven until ready to serve.
Plate Lamb Lollipops and top with a generous portion of romesco.
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