Preheat the oven Gas Mark 6, 200°C (400°F).
Mix the barbecue sauce ingredients together. Remove half to small serving dish and spoon the other half over the pork chops.
Place the potatoes, fennel and peppers in a roasting tin big enough to hold the vegetables and chops in a single layer. Stir through the olive oil and season with salt and pepper. Place in the oven for 10 minutes to give the vegetables a head start. Then take the roasting tin out of the oven and add in the pork chops. Move the vegetables to the edge of the roasting tin so that the chops are sitting on the base of the tin, not on top of the vegetables. Bake for 20 minutes.
Remove from the oven and let the chops sit for a couple of minutes before sprinkling over the parsley and serving with the remaining barbecue sauce.