In a large pot, heat the vegetable oil over medium heat. Add the chopped onion and minced garlic and cook until softened, about 5 minutes.
Add the pork cubes to the pot and cook until browned on all sides, about 8 minutes.
Stir in the dried oregano, ground cumin, salt, and black pepper.
Add the drained and rinsed hominy and chicken broth to the pot. Bring to a boil, then reduce heat to low and simmer uncovered for 2-3 hours, until the pork is tender and the flavors have melded together.
Serve the pork pozole hot, garnished with chopped fresh cilantro, sliced radishes, lime wedges, and diced avocado.