Pat the pork chops dry and season both sides with the salt and pepper.
Heat the oil in a heavy skillet over medium-high heat and sear the chops for 3 minutes per side until brown.
Lower the heat to medium-low, cover and cook for 4 to 7 minutes until the thickest part reaches 145°F away from the bone.
Move the chops to a plate and rest them for at least 3 minutes.
Whisk the broth, brown sugar, mustard and vinegar into the skillet and scrape up the browned bits.
Simmer for 3 to 4 minutes until the glaze is syrupy, then turn the rested chops through it once and serve.