Assemble the lasagna by ladling a small amount (about 1/2 cup, just eyeball it) of the sauce into the bottom of a 13x9" baking dish. Lay three of the lasagna noodles over the sauce, top them with about a third of the ham and artichokes, and ladle about a cup of sauce over everything. Make two more layers of the lasagna by laying down three lasagna noodles, about a third of the ham and artichokes, and 1 cup of the sauce for each layer. Top the lasagna off with the last three noodles, the remaining sauce and the shredded cheese.
Cover the pan with aluminum foil and bake the lasagna for 30 minutes. Remove the foil from the baking dish and bake another 15 minutes until the cheese is melted and the sauce is bubbly. Garnish with parsley and serve.