Bring chicken broth to a boil in a pot, then add rice and diced mixed bell peppers. Reduce heat, cover, and cook for 15 to 18 minutes until rice is fluffy.
Season chicken pieces with Cajun seasoning, salt, and black pepper. Heat olive oil in a skillet over medium-high heat.
Cook chicken in the skillet for 5 to 7 minutes until golden and fully cooked. Remove chicken and set aside.
In the same skillet, melt butter and sauté onion, minced garlic, and diced red bell pepper for 2 to 3 minutes until softened.
Pour in heavy cream and simmer gently. Stir in grated Parmesan cheese, paprika, and extra Cajun seasoning. Cook until sauce thickens.
Return cooked chicken to the skillet and stir to coat evenly with the creamy sauce.
Serve the creamy Cajun chicken over the rice and bell peppers. Garnish with chopped fresh parsley.