Heat 2 tablespoons canola oil in a large skillet or wok over medium-high heat. Add the ginger, garlic, and chicken and stir-fry until it is just cooked through, 4 to 5 minutes. Remove to a plate and set aside. Add the remaining 1 tablespoon oil to the pan, add the eggplant, and stir-fry until the eggplant begins to brown and soften, 3 to 4 minutes. Return the chicken to the pan, add the hoisin sauce and soy sauce, and stir-fry until the chicken is cooked through, 2 to 3 minutes.
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