Combine first 7 ingredients in a small bowl; stir well with a whisk.
Discard seasoning packet from noodles. Break uncooked noodles into small pieces. Place 1 1/2 cups lettuce on each of 4 serving plates; top each with 1/2 cup chicken and 1/4 cup shredded carrot. Divide ramen noodles evenly over each salad; top each with 1 tablespoon almonds. Spoon 2 1/2 tablespoons dressing evenly over each salad just before serving.