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Preheat oven to 400° F. Set a wire rack inside a large rimmed baking sheet.
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Place chicken wings, vegetable oil, salt, and pepper in a large bowl; toss to coat.
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Before the wings are placed in the oven, start making the sauce. Add chicken stock, balsamic vinegar, soy sauce, honey, garlic, ginger, and peppercorns in a small saucepan. Whisk to combine. Bring to a simmer. Simmer over medium heat for 12 minutes uncovered until reduced by half.
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Once reduced, strain sauce and add back to the saucepan. Keep sauce heated over low while wings bake.
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Place wings on wire rack and spread out in a single layer. Bake wings for 45–50 minutes, basting with sauce three or four times until the sauce is all used up.