Preheat the oven to 400 °F and season the pork chops on both sides with salt and pepper.
Heat the vegetable oil in an oven-safe skillet over medium-high heat; sear the chops for roughly 3 minutes per side until richly browned, then transfer them to a plate.
Reduce the burner to low, melt the butter in the same skillet, whisk in the garlic, brown sugar, and red-pepper flakes, and let the mixture simmer for 2–3 minutes until slightly thickened.
Return the pork chops, turning to coat them thoroughly in the glaze, and place the skillet in the oven.
Bake for 8–10 minutes, or until a digital thermometer inserted into the thickest portion registers 145 °F.
Rest the chops for 5 minutes to allow the juices to settle, garnish with parsley, and serve immediately.