Preheat the oven to 375°F. While the oven is heating, mix the paprika, thyme, mustard powder, salt, and pepper together in a small bowl.
Pat the pork chops dry with a paper towel and then sprinkle the seasoning over the pork chops. Rub the seasonings in to ensure even coverage.
Heat a cast iron pan to medium-high heat, then drizzle in the olive oil. Brown the chops for about 2-3 minutes on each side, using tongs to turn them.
Add the butter and rosemary to the pan and place the pan into the oven to bake for 12-15 minutes. Remove from the oven, spoon the butter over the chops again, and let the chops rest for 5 minutes before serving.