Season the chicken breast with Cajun seasoning (about 1 tsp per side) and set it aside for 10 minutes. This resting time ensures the seasoning penetrates the meat for maximum flavor. Heat the oil in your skillet over medium heat. Cook the chicken for 4–5 minutes per side until golden and cooked through (internal temperature should reach 165°F). Remove the chicken and cover with foil to keep it warm.
Using the same skillet, sauté the zucchini, diced bell pepper, and minced jalapeños. Stir occasionally for about 6–7 minutes until the vegetables are soft but still slightly crisp. Scrape up any browned bits left from cooking the chicken for added flavor.
Stir in the diced tomatoes, green onions (reserve some for garnish), and tomato paste. Add a pinch of salt to draw out the juices from the veggies. Cook for 5 minutes while stirring to combine everything into a cohesive mix.
While the veggies cook, bring a pot of salted water to a boil and cook the farfalle according to package instructions until al dente. Save about half a cup of pasta water before draining it.
Back in the skillet, add minced garlic and red pepper flakes to the veggies. Cook for just one minute to release their aroma. Lower the heat to medium-low and pour in the half and half. Stir frequently and simmer gently for 6–7 minutes until the sauce thickens.
Add the cooked pasta to the sauce and toss to coat. Stir in the grated parmesan cheese and add a splash of pasta water if needed to achieve your desired consistency. Slice the cooked chicken into strips and mix it in.
Divide the pasta into bowls and garnish with green onions, extra parmesan, and a pinch of red pepper flakes for a professional finish.