Heat 1 tablespoon of the olive oil in a large skillet with a lid over medium high heat. Cook the pork chops for about 5 minutes per side, until browned and cooked through. Transfer them to a plate.
Return the skillet to medium heat and add the remaining 2 tablespoons of oil. Add the broccoli and sauté for 1 minute. Add the garlic and sauté for 1 more minute, until you can smell the garlic. Add the Worcestershire Sauce and 1/4 cup water, cover the pan and cook for 2 to 3 more minutes until the broccoli is just tender. Uncover the pan and sauté for another minute until any liquid has evaporated. Taste and adjust seasonings, then serve the pork and broccoli on plates with hot rice or mashed potatoes.