1. Heat a large nonstick skillet over medium-high heat. Add oil to pan; swirl to coat. Add pork to pan. Cook 8 minutes, browning on all sides.
2. Combine pork, broth, and next 9 ingredients (through chiles) in a 5-quart electric slow cooker. Cover and cook on LOW for 8 hours. Ladle posole into bowls; top with slaw, radishes, and avocado. Serve with lime wedges, if desired.