Heat olive oil in a large pot over medium heat. Add chopped onion and cook until softened, about 5 minutes.
Add the chopped andouille sausage to the pot and cook, stirring occasionally, until browned and fragrant, about 5 minutes.
Season with a pinch of salt to enhance the flavors.
Pour in the chicken broth and add the split peas and bay leaves. Stir to combine.
Bring to a boil, then reduce heat to low and simmer, covered, for 30 minutes or until split peas are tender.
Add the sliced zucchini, season with salt and black pepper to taste, and continue to simmer uncovered for another 10 minutes until zucchini is tender and soup slightly thickened.
Remove bay leaves before serving. Adjust seasoning as needed and enjoy your hearty faux gumbo!