Finely shred the red cabbage and place it in a large bowl. Sprinkle with a pinch of salt and gently massage for about 1 minute to soften.
Add grated carrot, chopped parsley, and nuts if using. Toss lightly to combine.
In a small bowl, whisk together olive oil, apple cider vinegar, honey, Dijon mustard, lemon juice, salt, and black pepper.
Pour dressing over the cabbage mixture gradually and toss well to coat evenly.
Let the salad rest for at least 10 minutes to allow flavors to develop.
Toss again before serving and adjust seasoning if needed.