Get Asian Style Slaw Recipe from Food Network. Cole slaw is one of the classics, and I love it, but I More. Save Recipe. Level Easy Total min. Prep .Directions. Remove and discard any coarse outer cabbage leaves. Peel off large leaves just until they are difficult to remove. Transfer cabbage to a large bowl with red onion, carrot, pepper, green onions, and parsley. Sprinkle with salt and toss. Whisk together vinegar, oil, soy sauce, and honey in a small bowl..Directions. In a medium bowl, whisk together the rice vinegar, oil, peanut butter, soy sauce, brown sugar, ginger, and garlic. In a large bowl, mix the green cabbage, red cabbage, napa cabbage, red bell peppers, carrots, green onions, and cilantro. Toss with the peanut butter mixture just before serving..Asian Slaw Dressing tablespoons olive oil. tablespoon toasted sesame oil. cup rice wine vinegar. tablespoons brown rice syrup, agave or honey. tablespoon soy sauce or GF alternative like Braggs or Coconut Aminos garlic clove, finely minced use a garlic press tablespoon ginger, finely chopped..