Heat a large stock pot over medium heat. Once hot add in olive oil and coat the pan.
Add in the chicken chunks and sliced mushrooms.
Saute for 5 minutes.
Add in the rest of the ingredients: diced tomatoes, white wine, chicken broth, rigatoni, garlic, goat cheese, and dried basil.
Stir to combine.
Raise heat to high and bring to a simmer.
Adjust heat, if necessary, and keep at a simmer for about 12-14 minutes or until the liquid has mostly absorbed, the noodles are tender, and the chicken is cooked. Make sure to stir regularly.
In the last 2 minutes, stir in the parmesan.
Add salt, to taste, if necessary.
Let sit for about 5 minutes, so the sauce has a chance to thicken, and serve immediately!
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