Pat the chicken dry and season both sides with salt and pepper.
Add the almond flour and Parmesan cheese to a shallow dish and mix together.
In a large skillet, heat the olive oil and butter over medium heat. Lightly coat each piece of chicken in the almond flour mixture and add the chicken to the pan. Cook 3-4 minutes per side, until golden brown and cooked through. Remove from the pan and set aside.
Add minced garlic to the same skillet and cook for 30 seconds until fragrant. Stir in the chicken broth, cooking wine, lemon juice, and capers. Simmer 2-3 minutes, allowing the sauce to slightly reduce.
Return the chicken to the pan and spoon sauce over it. Simmer another 2-3 minutes, then serve.