All ingredients ready? Let's begin!
Place one pork chop between 2 sheets of plastic wrap. Using the flat side of a meat mallet, pound the meat into 1/4-inch thick medallions.
Repeat with the other 3 chops.
In a wide, shallow bowl, combine the flour, salt, and pepper.
Press the chops into the flour mixture to coat each and then shake off the excess flour.
In a large skillet over medium-high heat, warm the olive oil.
Sauté the pork chops for 3 minutes.
Flip them over and sauté for another 2 minutes until almost cooked through. You might have to do this in 2 batches. Transfer the cooked pork to a serving platter and tent it with foil to keep warm.
Add the garlic to the pan. Deglaze with the wine, whisking up any browned flour bits. Cook until the wine reduces and the garlic is golden, approximately 2 minutes.
Whisk into the pan the broth and lemon juice.
Add the pork medallions back to the pan and cook for just 1 minute until warmed through.
Wipe the serving platter clean with a paper towel and transfer the pork back to the serving platter.
Add the capers and butter to the sauce and stir until it is silky and smooth.
Pour the sauce over the pork.
Sprinkle the parsley over each.
Place 2 lemon slices on each chop. Serve immediately with your favorite sides, such as risotto, polenta, or potatoes, and a Caprese salad.