Bring a large pot of salted water to a boil. Cook linguine according to package instructions until al dente. Drain, reserving 1/2 cup of pasta water.
Toss the beef strips with 1 tablespoon of Cajun seasoning and salt.
In a large skillet, heat olive oil over medium-high heat. Add beef strips in a single layer and sear until browned on all sides, about 4-5 minutes. Remove beef from skillet and set aside.
Reduce heat to medium. Add butter to the skillet. Once melted, add minced garlic and cook for 1 minute until fragrant.
Whisk in the heavy cream and the remaining 1 tablespoon of Cajun seasoning. Simmer for 3-4 minutes until the sauce begins to thicken slightly.
Stir in the Parmesan cheese until melted and the sauce is smooth.
Add the cooked linguine and beef strips back into the skillet. Toss to coat, adding reserved pasta water if the sauce is too thick.
Garnish with chopped parsley and serve immediately.