In a baking dish or pie dish, combine flour, parmesan, garlic powder, salt, pepper, and paprika. Whisk until combined.
Place chicken cutlets in the mixture and dredge them. They should be generously coated in the mixture. Transfer to a plate, or parchment paper, set aside.
In a large skillet set over medium heat, add the oil and butter. Once hot, add the chicken and brown on each side, about 4 minutes per side. Remove the chicken and transfer to a clean plate or piece of parchment paper.
To make the sauce, in the same skillet, add the wine. Cook for 30 seconds, then add the chicken broth to deglaze the pan. Scrape up any browned bits on the bottom of the pan. Let the liquid simmer until it reduces by half.
Add the lemon juice, remaining butter, capers. Whisk to combine. If serving immediately. Add chicken back to the pan, spoon sauce over top, then serve. Or plate the chicken and spoon the sauce over top (to prevent it from getting too soggy). Garnish with fresh parsley.