Preheat the oven to 200 degrees while you are preparing the other ingredients.
Now take a pot in which you can cook the pasta based on the procedure on the packet. Do not overcook the pasta and make sure to add 1 tbsp to it. It helps to enhance the flavors. Remove the pasta from the hot water and put some cold water on it. Reserve the pasta water in the pot.
Put the pot again on high flame and add the broccoli for 1-2 minutes in it. Remove and put in cold water to ensure the broccoli is not too soft. You will enjoy the crunchy and fresh flavor of the pasta.
Add the Cajun seasoning to the chicken. Make sure that you add on both sides and cook it in a skillet with olive oil till it is tender and properly cooked for 5 minutes on each side. Now cover it in a foil so it remains soft.
Clean the skillet or take another one. Add butter and melt it on flame with garlic chopped in it. Add the dry wine and cook it till there is only half of the liquid is left. Put the heavy cream, salt, and pepper to taste the parmesan cheese. Leave some of it for garnishing as well or use more.
In the same skillet add the pasta and carefully mix it. Now put in the serving plate or bowl add the broccoli on it and top with the Cajun chicken slices. Garnish more of the parmesan cheese and your amazing and delicious Cajun chicken alfredo with broccoli is ready.