Bake the Tater Tots as the label directs. Transfer to a bowl; add the parmesan, season with salt and pepper and toss. Set aside.
Meanwhile, bring a medium pot of salted water to a boil. Add the green beans and cook until tender, about 5 minutes. Drain and transfer to a medium bowl; toss with 1 tablespoon butter, the lemon zest, and salt and pepper to taste. Cover to keep warm.
Heat the olive oil in a large skillet over medium-high heat. Season the pork chops with salt and pepper; add to the skillet and cook until browned, about 4 minutes per side. Transfer to a plate and let rest.
Add the garlic to the skillet and cook until lightly browned, about 30 seconds. Add the lemon juice and chicken broth; cook until reduced by half, about 3 minutes. Swirl in the remaining 3 tablespoons butter. Spoon the pan sauce over the pork chops and serve with the Tater Tots and green beans.
Photograph by Antonis Achilleos
Courtesy of Food Network Magazine