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Season the chicken with kosher salt and black pepper.
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Whisk together the soy sauce, rice wine vinegar, brown sugar, honey, sesame oil and mustard.
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Combine in a separate dish the Italian-style seasoning mix, paprika, ginger and oregano. Stir in the orange zest and liquid smoke.
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Sprinkle the seasoning mixture over the chicken pieces, turning them and pressing them in to the spices and orange zest.
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Put the chicken pieces in a baking dish or container. Pour the liquids over the chicken, turning them once to coat both sides. Cover the container and refrigerate overnight.
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Light a charcoal barbeque or heat a gas grill for medium heat. Lightly oil the grate.
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Shake the chicken pieces to remove excess marinade. Grill the pieces, skin side down for 15 to 20 minutes per side.
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Lay pieces of the fresh rosemary on the coals to smoke-infuse the chicken as it grills.
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The chicken is done when it reaches 180F and the juices run clear.