First, I melt butter in the Dutch oven over medium-high heat, then add chopped white onion and minced garlic. I cook until the onions are soft and the garlic is fragrant—about 5 minutes. Then I stir in one tablespoon of Cajun seasoning with those aromatics.
Then I remove the pot from heat and pour in the chicken stock (or stock + water) plus the can of diced tomatoes with their juices. I bring the mixture back to a boil, then reduce to a rapid simmer. Next I stir in the dry pasta, let it cook (about 10 minutes), stirring occasionally so it doesn’t stick to the bottom.
While the pasta simmers, I season the chicken with the remaining Cajun mix and sear it in a small skillet heated with oil. After 3-5 minutes per side, I transfer the chicken to a board, let it cool slightly, then chop into bite-size pieces. Then I reduce the soup’s heat to low, stir in room-temperature Parmesan until fully melted, add the chicken, simmer for a few more minutes so everything warms through, and finally taste for salt and pepper. I garnish with sliced green onions and serve hot.