Preheat the oven to 350F and line a large baking sheet with parchment paper.
Place the chicken breasts on the parchment-lined baking sheet.
In a small bowl, combine the grated cheese, almond flour, coconut flour, dried thyme, garlic powder, and melted butter.
Assemble:
Sprinkle a pinch of the cheese mixture onto each chicken breast, and top with one folded slice of prosciutto, then evenly distribute the cheese mixture over the chicken.
Bake:
Bake for 18-20 minutes until the coating is golden brown and the chicken reaches an internal temperature of 165F.
Remove from oven and allow to rest 5 minutes before serving.
Notes
You can use deli ham if you can't find prosciutto. I suggest you season your chicken with a little salt if you use the ham route. It's not as salty. I used Jarlsberg because that is what I had on hand.
If you don't eat grain-free, you can omit the almond flour + coconut flour and substitute with ½ cup bread crumbs.