Season chicken with salt and pepper, then lightly dredge in flour.
Heat olive oil and butter in a large skillet over medium-high heat.
Cook chicken breasts until golden brown on both sides, about 3 minutes per side. Remove and set aside.
In the same pan, sauté garlic for about 30 seconds until fragrant.
Pour in wine (if using) and broth, scraping up browned bits from the pan.
Add lemon juice and bring the sauce to a gentle simmer.
Return chicken to the pan and cook for another 5 minutes, letting it soak up the flavors.
Sprinkle with parsley and serve warm with pasta, rice, or crusty bread.