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1
Toss the chicken with about half the garlic and ginger, the soy sauce, sugar, 1 teaspoon of the cornstarch, 1 teaspoon of the salt, the sherry, and the sesame oil in a bowl.
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2
Marinate at room temperature for 15 minutes.
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3
Mix the remaining cornstarch with the 1/3 cup broth or water.
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4
Heat a large nonstick skillet over high heat.
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5
Add 1 tablespoon of the oil and heat.
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6
Add the broccoli stems, and stir-fry for 1 minute.
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7
Add the florets and the remaining garlic, ginger, 2 tablespoons of water, and season with 1/4 teaspoon salt, and pepper, to taste.
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8
Stir-fry until the broccoli is bright green but still crisp, about 2 minutes.
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9
Transfer to a plate.
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10
Get the skillet good and hot again, and then heat 2 more tablespoons oil.
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11
Add the chicken and stir-fry until the chicken loses its raw color and gets a little brown, 3 to 4 minutes.
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12
Return the broccoli to the pan and toss to heat through.
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13
Stir in the reserved cornstarch mixture and bring to a boil to thicken.
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14
Add more water if need to thin the sauce, if necessary.
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15
Taste and season with salt and pepper, if you like.
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16
Mound the stir-fry on a serving platter or divide among 4 plates; serve with rice.
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17
Cook's Note: The garlic and ginger can be chopped together in a mini chopper to save time.