Whisk together the extra virgin olive oil, lemon juice, Dijon mustard, honey, salt, and black pepper in a small bowl until the dressing is emulsified.
Toast the sliced almonds in a dry skillet over medium heat for 3 to 5 minutes until golden brown and fragrant.
Using a mandoline or a sharp chef knife, shave the Brussels sprouts into very thin ribbons.
In a large mixing bowl, combine the shredded Brussels sprouts, toasted almonds, dried cranberries, and shaved Parmesan cheese.
Drizzle the prepared dressing over the salad and toss thoroughly to ensure all ingredients are evenly coated.
Let the salad rest for 10 to 15 minutes before serving to allow the acid in the dressing to soften the raw sprouts.