Rinse the rice under cold water until the water runs clear. Drain and set aside.
In a medium saucepan, bring the chicken broth to a boil. Add the rinsed rice, reduce heat to low, cover, and simmer for about 18 minutes or until the rice is tender and the broth is absorbed. Remove from heat and set aside.
In a large skillet, heat the olive oil over medium heat. Add the diced onion, green bell pepper, and celery. Sauté for about 5 minutes until the vegetables are tender.
Add the minced garlic to the skillet and cook for an additional minute, stirring frequently.
Increase the heat to medium-high and add the ground meat and chicken liver (if using). Cook until browned, breaking up the meat with a wooden spoon, about 8-10 minutes. Drain any excess fat if necessary.
Stir in the Cajun seasoning, paprika, salt, and black pepper, mixing well.
Add the cooked rice to the skillet and stir until all ingredients are well combined. Cook for an additional 5 minutes, allowing the flavors to meld.
Taste and adjust seasoning if needed.
Remove from heat and garnish with sliced green onions and chopped parsley before serving.