Preheat the oven to 400 degrees.
Heat the oil in a large cast iron skillet over medium high heat. Add the ground beef, onion, Lawry’s, pepper, garlic powder, oregano, and salt. Stir to combine, then allow to cook, undisturbed, for several minutes to get some good browning. Stir and continue to cook until the meat is browned on all sides and most of the liquid is absorbed. Remove from heat.
On a large sheet pan, open the sub buns and spread both sides with mayonnaise and ketchup. Divide the ground beef mixture evenly over the bottom half of each bun. Top with two slices of cheese. Bake for 5 minutes, or until cheese is melted.
Place each sandwich on a large square of parchment paper. On top of the cheese, add two slices of tomato and a lot of lettuce. Sandwich with the top bun. It’ll be messy, just do your best to keep as much of the filling inside as possible.
Starting from a corner, wrap the parchment over the top of the sandwich, so the corner touches the other side. Roll the sandwich over once, and tuck the ends under, then finish rolling. Use a knife to cut through the center of the sandwiches, including the paper, and eat by peeling the paper back as you go.