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Special equipment: kitchen twine
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For the lamb: Preheat the oven to 400 degrees F.
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Soak the guajillo chiles in warm water to soften.
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Puree with 1 to 2 tablespoons of the soaking liquid in a small food processor or blender to make a paste.
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In a small bowl, combine the guajillo paste, fennel, parsley, rosemary, thyme, olive oil, garlic and 1 teaspoon each kosher salt and pepper.
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Cut the lamb lengthwise, stopping 1/2 inch before going all the way through.
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Open the lamb like a book and spread with the fresh herb and chile mixture.
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Close the lamb and tie with kitchen twine at 1-inch intervals.
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Season the outside heavily with salt and pepper.
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Put the lamb on a baking sheet and roast until golden brown, 30 to 40 minutes.
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Remove from the oven and lower the temperature to 300 degrees F. Transfer the lamb to a Dutch oven or ovenproof pot, add the chicken broth and wine and cover.
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Return the lamb to the oven and braise until the internal temperature reaches 135 degrees F, about 1 hour.
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Transfer the lamb to a cutting board (reserve the liquid in the pot) and let rest for 20 minutes before slicing.
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For the roasted potatoes: Meanwhile, toss the potatoes with the olive oil and sea salt in a roasting pan.
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Roast until tender, about 40 minutes.
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Remove from the oven, smash each potato to flatten slightly and then cook 10 more minutes.
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Pour the reserved lamb-braising liquid in a saucepan, set over medium-high heat and reduce by half.
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Whisk in the flour while boiling to thicken.
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Season with salt and pepper.
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Serve the lamb and roasted potatoes with the sauce.