Pour the vegetable oil into a large pot, and turn the heat to medium high.
Add in the chicken, and cook for about 5 minutes.
Next add in the ham, followed by the andouille sausage.
Cook the ingredients for about 5- 7 minutes, then toss in the onions, peppers, and celery.
Stir all of the ingredients, and make sure everything is well incorporated.
Next, add in the crush tomatoes, tomato sauce, and chicken stock.
Sprinkle in the cajun seasoning.
Toss in the two bay leaves, and stir the ingredients.
Turn the heat to high, and bring everything to a boil.
10. Add in the rice, and reduce the heat to low.
11. Stir the ingredients, and cook for about 10 minutes.
12. Pour 2/3 cup of water into the pot, and give everything a nice stir.
13. Continue to cook until the rice is nice and tender.
14. Toss in the shrimp, and fold in.
15. Let cook for another 5-7 minutes, then turn the heat off.
16. Let sit for about 5 minutes.
17. Dish it out, and sprinkle the chopped green onions on top
18. Serve and enjoy!