Slice the thighs in half, and trim away any excess fat or skin. If the thighs open up to being on the small side, then no need to cut into two pieces.
In a large non-stick skillet heat 2 tbsp of the olive oil and 1 tbsp of butter over medium high heat. Once hot, place as many cutlets as will fit easily into the skillet, with the sage side facing up. Cook for two to three minutes or a bit longer, until the prosciutto is crisped, and the thigh has taken on colour. Turn over and sauté the top side for about one minute, or until the meat is cooked through, it should be 165F. No more than 5 minutes should be needed.
Prep the chicken as outlined above. Set them in one layer onto the wire basket of your air fryer. Spray gently with oil. Place into a 350F air fryer and cook for about 8 minutes, turning over once. Adjust time if needed. Repeat with remaining chicken pieces if they didn't all fit in the first batch.
Re-heating also works great in the air fryer to get the crunch back! Just place in a 300F for about 5-6 minutes, or until warmed through.
Depending on the size of the thighs, you may need only three to feed four people. Or even less. But better to make more than needed, than not enough!
They keep well and can be rewarmed easily the next day in a skillet set over medium low heat. If you need more sauce, you can actually start from scratch after you have re-warmed the leftover cutlets.
Recipe is a riff on the one in Mimi Thorisson's book, Old World Italian