Heat the olive oil in a skillet over medium heat. Add the chorizo slices and cook for 3 minutes until they release some fat and begin to brown.
Add the onion and garlic to the skillet. Cook for 2 minutes until the onion softens.
Transfer the chorizo mixture to the slow cooker. Add the bell peppers, carrots, diced tomatoes, chickpeas, vegetable broth, smoked paprika, cumin, salt, and black pepper.
Stir everything to combine. Cover and cook on low for 6 hours.
Stir in the spinach during the last 10 minutes of cooking so it wilts.
Ladle the stew into bowls and sprinkle with fresh parsley before serving.