Make the chicken cutlets horizontally butterflying the chicken breast halves. You might want to cut the large breast pieces you're working on in half
Put the slices over two sheets of plastic wrap and use a meat punch to pound them to a thickness of 1/4 inch if they are still thick after butterflying
Put the flour, Parmesan, salt, and pepper in a basin and use it to coat the cutlets. Chicken parts should be water-rinsed. They should be fully coated after being dredged in the flour mixture
To brown the cutlets, warm 2 tablespoons of butter and a lot of olive oil in a big skillet over medium-high heat. Don't overfill the pan as you add the first half of the chicken pieces. 3 minutes should be enough to thoroughly brown either side. Chicken should be taken out of the pan and set aside on a platter
In the same way, cook the additional breasts, then take them out of the pan. The breasts should be placed on a rack over a roasting pan and kept warm in a 225°F oven while the sauce is being made
Lemon juice, capers, stock (or wine) Add chicken stock (or wine), lemon juice, capers, and salt to the pan
To remove the browned parts, use a spatula. Slash the sauce in half
The remaining butter is whisked in
The final 2 tablespoons of butter should be whisked in