Season the chicken cutlets with salt and pepper, then lightly dredge in flour, shaking off excess.
Heat olive oil in a large skillet over medium-high heat. Cook the chicken for 3-4 minutes per side until golden and cooked through. Remove and set aside.
In the same pan, melt butter and sauté garlic for about 30 seconds until fragrant.
Add chicken broth and lemon juice, scraping up any browned bits from the pan.
Stir in capers and let the sauce simmer for 2-3 minutes.
Return the chicken to the pan and spoon the sauce over the top.
Garnish with fresh parsley and serve immediately.