Preheat the oven to 350°F.
Separate the cabbage leaves and remove the thick veins from the larger leaves. Rinse under cold water and dry thoroughly.
Tear the leaves into smaller pieces and spread them across 2 or 3 parchment-lined baking sheets.
Drizzle lightly with avocado oil. Season with salt and pepper, then sprinkle with 3 tablespoons of grated Parmigiano Reggiano.
Bake for 20 to 25 minutes, watching the darker outer leaves because they cook faster.
Add all Caesar dressing ingredients to a blender and blend until smooth and creamy.
Let the chips cool, plate them, and top with the Caesar dressing and extra grated Parmigiano Reggiano.