Prepare the linguine according to package instructions, drain, and keep warm.
Heat 1 tablespoon oil in a cast iron pan or skillet over medium heat. Lightly season the chicken strips with salt and pepper to taste.
Add the chicken strips to the skillet and cook over medium heat, searing on both sides until cooked through, about 5-7 minutes.
Sprinkle 2 teaspoons Cajun or Adobo seasoning, 1/2 teaspoon basil, 1/4 teaspoon garlic powder, and 1/4 teaspoon pepper over the chicken and stir to coat.
Stir in 1/2 cup heavy whipping cream and 1/4 cup shredded Parmesan cheese and cook, stirring, for 2-3 minutes until the sauce is heated and slightly thickened.
Place the cooked chicken and Alfredo sauce on top of the warm linguine.
Top with additional Parmesan cheese and chopped green onions if desired.
To evenly coat the pasta and prevent sauce from pooling on the plate, pour the chicken and sauce into a bowl with the linguine and toss gently before plating.