Using the sharpest knife you've got, slice your chicken breasts in half, horizontally, forming four thin cutlets.
Combine your flour, parmesan, salt, and pepper on a plate and then coat each chicken breast piece in the mixture and set aside.
Place a frying pan/skillet on medium heat and drizzle in a tablespoon of olive oil. Add in your floured chicken cutlets and cook on each side for 4 minutes until golden. Then remove and set aside while you make your sauce.
Using the same chicken pan, add in a little drizzle of olive oil and then add in your shallots and garlic. Fry for 5 minutes until softened (stir regularly). Next, add in your capers and fry for a further 2 minutes, stirring frequently.
Pour in your chicken stock followed by the lemon juice. Reduce the heat and then add in your butter and leave to melt. Give everything a good stir, then taste and season with salt, pepper, or more lemon based on your preferences.
Add in your finely chopped parsley and give it a good stir.
Place your fried chicken back into the pan and fry on low heat for a further 5 minutes, flipping halfway so that the chicken absorbs some of the sauce. Serve up your chicken piccata, spoon the sauce over the chicken, and enjoy with pasta, rice, or salad.