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1
Preaheat oven to 300u00b0F. Season shanks all over with salt and pepper. In a large heavy roasting pan (alternatively, you can use 2 large pots such as Dutch ovens or straight-sided saute pans, splitting ingredients between them), heat oil over high heat until shimmering. Add shanks and cook until browned on both sides, about 5 minutes per side. Transfer shanks to a platter.
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2
Lower heat to medium-high and add onion, carrot, and garlic and cook, stirring, until softened, about 10 minutes. Add wine, scraping up any browned bits, and bring to a simmer; lower heat to medium and cook until raw alcohol smell has mostly cooked off, about 20 minutes.
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3
Add thyme and bay leaves. Nestle shanks in cooking liquid so that they are almost mostly but not completely submerged; pour any accumulated juices from shanks into the roasting pan. Cut out a piece of parchment paper about the size of the roasting pan (or pots). Cut a hole in the center of the parchment and press against surface of shanks. Transfer to oven and braise until shanks are tender, about 3 hours.
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4
Discard parchment and transfer shanks to a clean platter. Skim rendered fat off surface of braising liquid and discard thyme and bay leaves. Using an immersion blender or blender, blend aromatics and braising liquid to form a smooth sauce. Thin with warm water or stock as needed to create a consistency just thick enough to coat the back of a spoon. Add soy sauce and season with salt and pepper.
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5
Serve shanks with sauce, sprinkling parsley on top. Shanks can be refrigerated in their sauce for up to 4 days. Reheat before serving, and thinning reheated sauce if necessary with water.