Place the boneless pork loin chops between saran wrap or in a zip lock bag, and pound down to about 1/4 to 3/8 inch or 1 cm thickness. Seasoning with salt and pepper, and dredge in flour until coated.
In a large skillet, over medium heat, add 2 tablespoons of olive oil, and once the oil is heated, add the pork loin chops. Sear for about 4 minutes on each side. Then remove from skillet and transfer to plate.
Add the remaining olive oil to the pan, then add onions, and sauté for about 3-4 minutes, until transparent. Then stir in paprika, and pepper until combined, and then add mushrooms, and sauté for about 3 minutes until tender, and then add the tomato. Add the white wine and deglaze for about 2-3 minutes, until almost half has evaporated and scraping the bottom of the pan. Add water, and continue cooking for another 10 minutes. Return the pork chops to the skillet.
To thicken the sauce, stir together flour and sour cream in a small bowl. Then add some of the mushroom sauce from the skillet and combine well. Increase heat and using a fork or whisk, add the sour cream mixture, stirring until thoroughly combined, and remove once the sauce has thickened. The sauce should have a rich creamy texture. If the sauce is too thick, add and stir in a few drops of water.
Garnish with parsley, and a dollop of sour cream if desired. Serve with Hungarian dumplings (Nokedli), pasta or rice.