Heat olive oil in a large skillet over medium heat.
Add the diced onion and green bell pepper, cooking until softened.
Stir in the garlic and cook until fragrant.
Add the chicken and cook until fully cooked, breaking it apart as it cooks if using ground chicken.
Season with Cajun seasoning, paprika, salt, and black pepper.
Stir in tomato sauce, ketchup, Worcestershire sauce, and hot sauce if using.
Let the mixture simmer for several minutes until thickened and flavorful.
Lightly toast the hamburger buns if desired.
Spoon the Cajun chicken mixture onto the buns.
Garnish with parsley and serve warm.