For the pork chops: Preheat the oven to 425 degrees F.
Combine the paprika, salt, sugar and pepper in a small bowl. Rub all over the surface of the chops and let the chops rest on a rack while you make the salsa verde.
For the salsa verde: Combine the parsley, capers, lemon juice, zest, mustard, salt, cayenne, scallions and garlic in a blender. Pulse to make a coarse paste. With the blender running on high, add the olive oil in a slow, steady stream to make a thick, smooth sauce. With the blender running on low, add up to 2 tablespoons water to thin the sauce so it has a drizzle consistency.
For the pork chops: Heat a skillet over medium-high heat, then coat with some olive oil. Add the chops to the skillet and sear until the underside is well browned, about 4 minutes. If the sides of the chops have a thick layer of fat, turn them briefly on their sides to sear the fat, about 30 seconds. Flip the chops raw-side down and transfer the skillet to the oven. Roast until the chops are just cooked through and reach 140 to 145 degrees F in the center as measured on an instant-read thermometer, about 10 minutes. Remove from the oven and let rest for 5 minutes. Serve drizzled with the salsa verde.