Place the pork shoulder roast in the bottom of the crockpot.
Scatter the sliced onion and minced garlic around the sides of the roast.
Add the carrot chunks, potato chunks, and cabbage wedges on top and around the meat.
Pour the chicken broth over the vegetables and pork.
Sprinkle the thyme, salt, and black pepper evenly across the top.
Cover and cook on low for 8 hours, until the pork pulls apart easily with a fork.
Shred or slice the pork and serve it with the vegetables and some of the broth.