Brown the Chicken: Heat olive oil in a large skillet over medium heat. Add the ground chicken, season with salt and pepper, and cook until browned and cooked through, breaking it apart with a spoon (about 5-7 minutes).
Sauté the Vegetables: Add the chopped onion, bell pepper, and minced garlic to the skillet. Sauté for 3-4 minutes until the vegetables soften.
Add the Cajun Seasoning: Sprinkle Cajun seasoning over the chicken mixture and stir to coat evenly. Let it cook for another 2 minutes to allow the spices to release their flavors.
Simmer with Sauce: Pour in the chicken broth, tomato paste, Worcestershire sauce, and hot sauce (if using). Stir everything together and let the mixture simmer for 5-7 minutes, allowing the sauce to thicken.
Assemble and Serve: Toast the hamburger buns if desired. Spoon the Cajun chicken mixture onto the buns and serve hot. Enjoy!