Cook the fettuccine according to package directions, then drain and set aside.
Season the chicken strips with Cajun seasoning.
In a large skillet over medium-high heat, heat the olive oil. Add the chicken and cook until golden and cooked through. Remove and set aside.
In the same skillet, melt the butter. Add the bell peppers and sauté until tender. Add the garlic and cook for another 30 seconds.
Pour in the heavy cream and chicken broth. Bring to a gentle simmer.
Stir in the Parmesan cheese and season with salt, pepper, and extra Cajun seasoning to taste.
Return the chicken to the skillet, then toss in the cooked pasta. Mix until everything is evenly coated and heated through.
Garnish with parsley and serve immediately.