Season thin chicken cutlets with salt and pepper on both sides.
Set up three shallow dishes: flour in first, beaten eggs in second, and breadcrumbs mixed with 1/2 cup Parmesan in third.
Dredge each cutlet in flour, then eggs, then breadcrumb-Parmesan mixture, pressing to coat well.
Heat 2 tablespoons olive oil in a 12-inch skillet over medium heat until shimmering. Cook chicken 3-4 minutes per side until golden and crispy (internal temp 165°F). Transfer to plate and rest 2-3 minutes.
In same skillet, melt 2 tablespoons butter. Add minced garlic and sauté 30 seconds until fragrant.
Add 1/2 cup chicken broth, scraping pan. Simmer 1 minute, then add 1 cup heavy cream and 1/4 cup Parmesan. Whisk and simmer 3-4 minutes until thickened. Season with salt and pepper.
Return chicken to skillet, spoon sauce over, and garnish with parsley or thyme. Serve immediately.
Notes
Use thin cutlets or pound chicken to 1/2 inch thickness for even cooking. Panko breadcrumbs create extra crispy coating.
Cook over medium heat in a 12-inch skillet to prevent burning the crust. Serve immediately to keep coating crispy.
Store chicken and sauce separately for best texture when reheating. Reheat in oven at 350°F for 10-12 minutes.