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Heat the oil in a large frying pan over a medium heat. Put the brussels sprouts in the pan, cut-side down, and leave them to sizzle away happily for 10 mins without disturbing them.
Halfway through cooking, dot over the butter and leave it to sizzle and brown – the sprouts need to be really crispy and dark brown. If they are just lightly brown, carry on cooking for another 5-10 mins.
Scatter over the sesame seeds and stir-fry everything until the seeds are toasted. Off the heat, toss through the pomegranate seeds, then season the sprouts with salt and tip into a serving dish. Drizzle with the pomegranate molasses before serving.