Place plastic wrap over the pork chops and use a meat mallet to pound them to an even thickness.
Season both sides of the pork chops with salt, pepper, and Italian seasoning. Let them rest at room temperature for 35–45 minutes, if possible.
In a measuring cup, combine all sauce ingredients and set aside. Prepare the rest of the ingredients before cooking.
Lightly dredge each pork chop in flour, pressing it into both sides.
Heat olive oil in a large skillet over medium-high heat. Sear pork chops in batches for 2–3 minutes on the first side and 1–2 minutes on the second. Set aside.
Turn off the heat and add the white wine to the pan, scraping up any browned bits with a spatula. Turn heat to medium and reduce the wine for about 2 minutes.
Add the minced garlic and sauté for 2–3 minutes, until the wine is reduced by half.
Stir in the butter and flour to make a roux. Cook for 1–2 minutes, stirring frequently.
Slowly pour in the prepared sauce mixture while stirring constantly. Bring to a boil, then reduce to a simmer for 8–10 minutes until thickened.
Reduce the heat to low and stir in the Parmesan cheese gradually until melted and smooth. Add lemon juice, if using.
Return the pork chops to the skillet, spoon sauce over the top, and heat through for 3–5 minutes.
Garnish with fresh parsley and serve warm with mashed potatoes, vegetables, or pasta.