Heat the olive oil in a large pot over medium heat. Add the pork cubes and brown them on all sides for about 6 minutes total. Remove the pork and set it aside.
Add the onion, carrots, parsnips, and sweet potato to the same pot. Cook for 5 minutes, stirring occasionally, until the onion softens.
Stir in the garlic and cook for 1 minute more.
Return the pork to the pot. Pour in the apple cider and chicken broth. Add the thyme, salt, and black pepper.
Bring the mixture to a boil, then reduce the heat to low. Cover and simmer for 45 minutes until the pork is tender and the vegetables are cooked through.
Let the stew cool completely before dividing it into freezer-safe containers.