Mix the Vegetables: In a large mixing bowl, combine the green cabbage, purple cabbage, shredded carrots, dried cranberries, sliced almonds, and red onion. Add the parsley if using. Toss to mix the ingredients well.
Make the Dressing
Whisk the Dressing Ingredients: In a small bowl, whisk together the mayonnaise, apple cider vinegar, Dijon mustard, honey, salt, and black pepper until smooth and well-combined.
Assemble the Slaw
Add the Dressing to the Slaw: Pour the dressing over the slaw mixture and toss until the vegetables are evenly coated.
Chill the Slaw: For the best flavor, refrigerate the slaw for at least 30 minutes before serving to allow the flavors to meld.
Serve
Final Touch: Give the slaw a quick toss before serving and adjust seasoning if necessary.