Season the pork: In a bowl, season the pork cubes with salt, black pepper, and cumin. Mix well to ensure even coating.
Brown the pork: Heat the olive oil in a large pot or Dutch oven over medium-high heat. Add the pork cubes in a single layer (work in batches if necessary) and sear for 4-5 minutes per side until golden brown. Remove the pork and set aside.
Sauté the aromatics: In the same pot, add the minced garlic and diced onion. Sauté for 3-4 minutes until the onion is translucent, scraping the bottom of the pot to loosen any browned bits.
Add the potatoes: Stir in the cubed potatoes and cook for 2-3 minutes.
Incorporate the chili and tomato juice: Add the canned green chili, sliced jalapeños (if using), and tomato juice. Stir to combine and cook for 2-3 minutes to let the flavors meld.
Deglaze and simmer: Return the pork to the pot and pour in the chicken broth. Use a wooden spoon to scrape the bottom of the pot, releasing all the flavorful bits. Add the bay leaves and oregano, mix well. Bring to a gentle boil, then reduce the heat to low. Cover and simmer for 1 hour, stirring occasionally.
Finish with cilantro: About 10 minutes before the stew is done, blend a handful of cilantro with 1 cup of the cooking liquid. Stir this mixture into the stew for a fresh flavor.
Serve: Remove the bay leaves. Taste and adjust seasoning if needed. Serve hot, garnished with chopped cilantro.