For the cabbage, place all ingredients in a medium pot, bring to a boil and cook 40-45 minutes, adding a little water if necessary, to very tender. Cover to keep warm.
For the applesauce, place all ingredients in a medium pot and bring to boil. Reduce heat to medium and cook to a very tender, chunky sauce, about 20-25 minutes.
Shred potatoes and place them in a fine mesh sieve. Sprinkle with salt and let them drain 20-30 minutes.
Squeeze out all excess liquid from the potatoes and combine them with the shredded parsnips. Season with pepper and mix in eggs, flour and parsley.
Combine ingredients for the Horseradish Sauce and chill until ready to serve.
Heat 1/8-inch oil in a large skillet. Working in batches, add flattened handfuls of the potato-parsnip mixture to the hot oil and cook to golden brown. Keep warm in 250°F oven on a wire rack set into a baking sheet.
Season the chicken with salt and pepper.
Place flour in a shallow dish and season. Whisk eggs in a shallow dish with salt, pepper, mustard and milk. Toss breadcrumbs in a third shallow dish with sage, nutmeg, lemon zest and salt. Coat each chicken cutlet first in flour, then egg, then breadcrumbs.
In a large skillet over medium to medium-high heat, heat oil. Fry cutlets 2 at a time, keeping them warm on a wire rack-lined pan in 250°F preheated oven.
Serve cutlets with lemon wedges and applesauce, and Parsnip Cakes and Cabbage alongside.