Heat the olive oil in a large skillet over medium-high heat. Add the pork cubes and brown them on all sides for about 5 minutes total. This step builds flavor before the slow cooker takes over.
Transfer the browned pork to the slow cooker. Add the diced onion, sliced carrots, minced garlic, chopped cabbage, dried thyme, salt, and black pepper.
Pour the apple cider and chicken broth over the ingredients in the slow cooker. Stir gently to combine everything.
Cover and cook on low for 8 hours or on high for 4 to 5 hours until the pork is fork-tender.
Taste and adjust salt or pepper if needed before serving.