Season both sides of your chicken with salt, pepper, and garlic powder.
Place flour in a shallow dish, and lightly coat both sides of the chicken in the flour, shaking off the excess.
Cook chicken in batches. In a large skillet, heat 1 tsp butter and 1 tsp of olive oil over medium heat. Cook half the chicken for 3-4 minutes, then flip, cooking an additional 2-3 minutes. Chicken should be golden brown on both sides. Add in another tsp of butter and olive oil and cook the second batch the same way.
Remove chicken from pan.
Turn heat to high and add juice from one lemon, white wine, and chicken broth. Cook over high heat for 2 minutes, Stirring to remove any brown bits from the bottom of the pan. Reduce heat to low.
Add chicken back to the pan and cover each piece with a half of a slice of mozzarella. Cover and let cheese melt and sauce thicken slightly - about 5 minutes.
Garnish with fresh parsley and capers.
To serve, spoon sauce over chicken and serve with a side of brown rice or pasta and your favorite veggies.