Heat 2 teaspoons oil in a small skillet over medium-high heat. Add ginger and garlic to pan; cook 45 seconds, stirring constantly. Place in a large bowl. Stir in remaining 1 teaspoon oil, chicken, and next 6 ingredients.
Cook noodles according to package directions. Drain and rinse under cold water; drain. Cut noodles into smaller pieces. Add noodles to bowl; toss well to coat. Sprinkle with peanuts.
Cooking Tip If you purchase deli-roasted chicken from the grocery store, be sure to ask about the ingredients used when preparing it. Some stores use flour in the seasoning that coats it.