Cook fusilli according to package directions.
Heat 1 tablespoon of the broth in a large skillet over medium heat. Add chicken and cook 5 minutes, until golden brown on all sides.
Meanwhile, in a blender, combine parsley, remaining broth, pistachio nuts, and garlic. Process until smooth, adding more broth, if necessary, to create a sauce-like consistency.
Add sauce to chicken in skillet and cook 1 minute to heat through. Season, to taste, with salt and black pepper. Serve immediately.