In a large, heavy-duty skillet, heat olive oil over medium-high heat.
Season pork chops on both sides with salt and pepper to taste. Add to preheated skillet and brown pork chops on each side, which should take approximately 3 minutes per side.
Remove pork chops from skillet and place in a rimmed dish.
Combine maple syrup and balsamic vinegar in the hot skillet. Bring the mixture to a boil and stir constantly, and then reduce the heat to medium. Continue the stirring process until the mixture has reduced to about ⅓ of its original volume. It will be syrupy and thick. (Be careful not to overcook; it will become sticky.)
Return pork chops and their juices to the skillet. Mix juices into the syrup and cook for an additional 1 to 2 minutes.
Transfer pork chops to a serving platter or individual plate and serve with the side of your choice.