Heat olive oil in a large pot over medium heat.
Add diced chicken thighs and cook until browned, about 5 minutes.
Stir in the andouille sausage and cook for another 3 minutes.
Add chopped onions, bell peppers, and celery. Cook until softened, about 5 minutes.
Stir in minced garlic and cook for 1 minute until fragrant.
Add diced tomatoes, chicken broth, Cajun seasoning, salt, and pepper. Bring to a boil.
Stir in the rice and reduce heat to low. Cover and simmer for 20 minutes.
Add shrimp and cook for an additional 5 minutes, until shrimp are pink and cooked through.
Fluff the rice with a fork and garnish with fresh parsley.
Serve hot and enjoy your delicious Jambalaya!