Put potato in a pot and cover with 2 inches of salted water. Bring to a boil and simmer for 10 to 12 minutes.
Add cabbage and cook for another 1 to 2 minutes
Drain potato mixture and reserve liquid.
Mash potato mixture in the pot along with a tablespoon of the cooking liquid. Continue adding cooking liquid as necessary.
In a hot oiled pan, cook the pork, turning frequently, for 3 to 4 minutes then set aside.
In same pan, add onions. Season with salt and pepper and cook for 2 to 3 minutes. Add apple and cook until they start to soften.
Add the vegetable broth and the pork to the pan. Cook for 3 to 4 minutes for the pork to be done. If necessary remove the pork again and cook the sauce until the apple is fully soft.