Heat a large skillet over medium heat and add a drizzle of olive oil. Toss in chopped onions and diced green bell peppers. Sauté for 7-8 minutes until the onions are translucent and peppers have softened.

Stir in freshly minced garlic and sauté for about 1 minute until aromatic.

Crumble ground chicken into the skillet and cook for 5-7 minutes, stirring frequently until browned.

Generously sprinkle Cajun seasoning over the browned chicken and mix thoroughly. Allow the spices to infuse for about 2 minutes.

In a separate bowl, whisk together the tomato sauce, ketchup, Worcestershire sauce, and brown sugar. Pour this mixture into the skillet and stir well.

Bring the mixture to a simmer over low heat for 10-15 minutes, stirring occasionally.

Preheat the oven to 400°F (200°C) and place the hamburger buns on a baking sheet. Toast them for about 4-5 minutes.

Spoon generous amounts of the chicken mixture onto the toasted buns, topping with cheese if desired.