Heat olive oil in a 12-inch heavy skillet over medium-high heat. Once oil just begins to smoke, transfer pork to skillet and cook for 2 - 3 minutes until bottom has browned, then rotate and cook opposite side until browned, about 2 - 3 minutes.
In a small bowl, stir together brown sugar, minced garlic and hot sauce. Spread mixture over the top of browned pork. Transfer pork (in oven safe skillet) to center of oven and roast until center of pork reaches 140 degrees on an instant read thermometer about 20 - 30 minutes.
Allow pork to rest in skillet, loosely covered with aluminum foil, 10 minutes at room temperature (temperature should rise to 155 degrees while standing). Carve and serve warm.
Recipe inspired by epicurious