Preheat oven to 450 degrees F.

Sprinkle duck with salt. Heat oil in a medium skillet over medium-high heat. Add the duck and cook until browned on both sides, 3 to 4 minutes per side. Transfer the duck to a small baking dish and roast until a thermometer inserted into the thickest part registers 150 degrees F, 8 to 12 minutes for medium, depending on the size of the breast. Transfer to a cutting board; let rest 5 minutes.

While the duck is roasting, return the pan to medium-high heat. Add shallot and cook, stirring constantly, until fragrant, 30 seconds to 1 minute. Add pomegranate juice and bring to a boil. Reduce heat to a simmer; cook until reduced by half, 1 to 2 minutes. Stir broth and cornstarch in a small bowl until the cornstarch dissolves. Add to the pan. Bring to a boil, stirring constantly. Reduce heat to a simmer and cook, stirring, until the sauce is thickened, 1 to 2 minutes. When the duck has finished resting, pour any accumulated juices into the sauce and stir to combine.

Thinly slice the duck; serve topped with the pomegranate sauce. Garnish with parsley, if desired.

Note: Boneless duck breast halves range widely in weight, from about 1/2 to 1 pound, depending on the breed. They can be found in most supermarkets in the poultry or specialty-meat sections.

Tips for Two: Leftover canned broth keeps for up to 5 days in the refrigerator or up to 3 months in your freezer. Leftover broths in aseptic packages keep for up to 1 week in the refrigerator. Add to soups, sauces and stews; use for cooking rice and grains; add a little when reheating leftovers to prevent them drying out.