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1
In a small saucepan over medium heat, warm the stock until steam begins to rise from the surface, about 3 minutes. Add the dried cherries and remove from the heat.
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2
Season the duck breast halves with salt and pepper. Using a sharp knife, score the skin by making a crisscross pattern, being careful not to cut into the meat.
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3
Heat a large saute pan over medium-low heat. Place the duck, skin side down, in the pan and cook until the skin is very crisp and golden, 12-15 minutes. Turn the duck over and cook until the meat is just springy when pressed, 3-5 minutes more for rare to medium-rare, or until done to your liking.
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4
Transfer the duck to a warmed platter, cover loosely with aluminum foil and let rest for 3 to 5 minutes before carving.
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5
Pour off all but 1 Tb fat from the pan. Set the pan over medium heat, add the shallot and cook, stirring occasionally, until tender and translucent, about 3 minutes.
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6
Add the port, bring to a boil and cook until it is almost evaporated, about 3 minutes.
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7
Add the stock and cherries and the demi-glace, and cook until slightly thickened, 2 to 3 minutes.
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8
Add the butter and whisk until completely incorporated.
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9
Taste and season with salt and pepper.
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10
Using a sharp carving knife, cut the duck across the grain into thin slices and arrange on a warmed platter. Pour the sauce over the meat and serve immediately.