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With a pestle and mortar, crush the coriander seeds with the star anise, then stir through the salt. Season the pork on both sides with the salt mix. Place the pork, skin side up, in an ovenproof dish that is just large enough to hold it. Scatter over the herbs, then leave overnight if you have time - see tip, below.
Heat oven to 150C/fan 130C/gas 2. Empty the goose fat into a saucepan and heat until liquid and starting to simmer. Ladle the fat over the pork; add sunflower oil to cover if you need to. Cover the dish with foil, then cook the pork in the oven, undisturbed, for 3 hrs by which time it will be very tender.
Remove the dish from the oven and leave it to settle for 10 mins. Meanwhile, line a tray with a piece of greaseproof paper. Carefully lift the pork from the fat and pick off any herbs. Lay it on the paper, skin side down. Cut another piece of paper and lay it over the pork. Cover with a tray, weighed down with a couple of cans, and leave in fridge overnight - see tip, below.
When you are ready to cook the pork, heat oven to 220C/ fan 200C/ gas 7. Remove pork from the tray, then peel away paper. Lightly score the skin into neat diamonds with a sharp knife and trim the edges so you get a perfect rectangle.
To cook the pork, heat a drizzle of oil in a large non-stick ovenproof pan. Lay the pork, skin side down, and leave for a few mins to crackle, then place the pan in the oven and cook for 20 mins. Remove from the oven and check to see that the skin has blistered, then carefully flip it over and cook the underside for 3 mins just to heat through. Lift to a board.
While the pork is roasting, make the velouté. Heat the butter in a frying pan. Cook the onions and apples for 8-10 mins until soft, but not coloured. Pour in the stock and simmer for 8 mins until the apples start to collapse. Stir in the cream, then simmer everything for 2 mins more. Season with salt and pepper. Carefully tip into a blender, blitz until as smooth as possible, then tip into a saucepan so it’s ready to be reheated.
Boil the carrots for 2 mins in salted water, then drain well. Heat the olive oil, then fry the carrots with seasoning for 5 mins, tossing occasionally until starting to brown. Gently reheat the velouté. You're now ready to plate up.
Use a sharp knife to carve the pork into long slices about 2cm thick. Lay 2 or 3 slices on each plate, slightly overlapping. Put 3 or 4 carrots on each plate, lying all in the same direction as the pork. Spoon a puddle of velouté over the end of the carrots. Garnish with a sprig of parsley.