While a pot of salted water comes to a boil for the fettuccine, I slice the chicken breasts into bite-sized pieces. I coat every piece generously with the Cajun seasoning so each bite gets that smoky heat. Once the water is boiling, I drop the pasta in and cook it according to the package directions.
I heat the olive oil in a large pan over medium heat and add the seasoned chicken pieces. I let them cook for about 5 to 7 minutes, stirring occasionally, until they're cooked through and lightly browned. Once done, I move the chicken to a plate and set it aside for later.
I lower the heat to low and add the butter to the same pan the chicken was cooked in, letting it melt and pick up all those spiced, browned bits. I stir in the grated garlic and cook it for about 30 seconds, just until fragrant, being careful not to let it burn.
Next, I pour in the heavy cream and let it warm gently for about 5 minutes over low heat. I never rush this step, since a slow simmer gives the sauce its smooth texture. Then I stir in the Parmesan a little at a time, letting it melt fully into the cream before the sauce comes together.
I drain the pasta, but not before scooping out about half a cup of the starchy cooking water. I add the pasta and the cooked chicken straight into the sauce, tossing everything gently so it's evenly coated. If the sauce looks too thick, I splash in a little reserved pasta water to loosen it back up.