Boil manicotti for 5 minutes and drain, pasta should be softened but not cooked completely.
Snap woody ends off of asparagus spears, rinse and wrap in clean towel. Microwave for 2 minutes on high. Let cool several minutes.
Chop ham slices into bite size pieces. Spray or grease casserole dish and spread half of sauce over bottom in an even layer. Sprinkle with 1/2 of Parmesan cheese. Top with ham pieces.
Fill each manicotti with 4-5 spears and place them on top of ham. Cover manicotti evenly with remaining sauce, spreading it with the back of a spoon. Cover sauce with grated cheeses. Cover dish and refrigerate for up to 2 days.
Bake at 325, covered, for 30-45 minutes until heated through and golden. Time will depend on temperature of dish at the beginning of cooking time. Serve with a large spatula to include the ham from the bottom of the dish.