Boil 4 quarts of salted water in a large stockpot and cook fettuccine to al dente according to manufacturer specifications.
Coat chicken strips evenly with Cajun seasoning in a mixing bowl.
Heat 1 tablespoon olive oil and 1 tablespoon butter in a large skillet over medium-high heat (375°F/190°C).
Sauté chicken until the internal temperature reaches 165°F (74°C), then remove from skillet and set aside.
Reduce heat to medium; add 0.5 cup butter and heavy cream to the same skillet, whisking to deglaze the pan.
Simmer the cream mixture for 5 minutes until reduced by approximately 20% volume.
Whisk in Parmesan cheese and garlic powder until the emulsion is smooth and thickened.
Incorporate the cooked fettuccine into the sauce, tossing continuously to ensure even coating.
Integrate the cooked chicken and garnish with chopped parsley before immediate service.