In three separate shallow bowls, place the flour, the beaten eggs, and a mixture of Panko, Pecorino Romano, 1 tablespoon of lemon zest, salt, and pepper.
Dredge each chicken breast in flour, dip into the egg wash, and then coat thoroughly with the Pecorino breadcrumb mixture, pressing firmly to adhere.
Heat olive oil in a large skillet over medium-high heat. Fry chicken for 4-5 minutes per side until golden brown and the internal temperature reaches 165°F (74°C). Remove chicken and keep warm.
In the same skillet, wipe out excess oil and melt 2 tablespoons of butter over medium heat.
Add minced garlic and sauté for 1 minute until fragrant.
Whisk in chicken stock, lemon juice, and the remaining 1 tablespoon of lemon zest. Simmer for 3 minutes to reduce slightly.
Reduce heat to low and stir in heavy cream. Simmer for 2-3 minutes until the sauce thickens and coats the back of a spoon.
Season sauce with salt and pepper to taste. Return chicken to the pan or pour sauce over chicken breasts.
Garnish with fresh parsley and serve immediately.