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Set chicken in a shallow dish and sprinkle with sea salt on both sides. Leave on the counter so chicken can come up to temperature.
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Preheat oven to 400 degrees F.
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Set a small skillet over medium heat. Add 1 tablespoon oil, and when hot, add the garlic, ginger and sauté 3 minutes. Add red pepper flakes and sauté 1 minute more. Slowly pour in soy sauce, and then add the honey. Bring to slow boil, then quickly turn heat down to a gentle simmer until mixture thickens considerably, 7 - 10 minutes. (You may need to remove the pan from heat if it starts to bubble over.) Set aside to cool briefly.
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Spoon 1/4 cup sauce over the chicken and toss to coat.
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Heat a cast iron skillet over medium/medium-high heat. Add 1 tablespoon canola oil. Add half the broccoli rabe, sauté 2 minutes, then add the other half. Sprinkle with sea salt. Sauté, turning often, just until broccoli rabe has just wilted and is a vibrant green hue. Remove to a plate.
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Add 2 more tablespoons oil to the same skillet, and when hot, add the chicken skin side down. Sear just until skin is golden, 2 minutes. Flip chicken and tuck broccoli rabe all around it.
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Slide into oven and roast 10 minutes, brush chicken all over with 1/4 cup sauce, and then cook 10 - 15 minutes longer, or until chicken reaches an internal temperature of 165 or higher.
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Serve chicken and broccoli rabe over rice with an extra drizzle of glaze, sesame seeds, and sliced green onions.