In a large skillet, cook sliced Andouille sausage over medium heat until browned.
Add diced onion, bell pepper, celery, and minced garlic; sauté until vegetables are tender.
Stir in rice, Cajun seasoning, and chicken broth.
Bring to a boil, then reduce heat, cover, and simmer until rice is cooked and liquid is absorbed, about 20 minutes.
Fluff rice with a fork, taste, and adjust seasoning.
Garnish with chopped green onions before serving.