Step 1: Start by mixing the Cajun seasonings in a shallow dish. This includes smoked paprika, garlic powder, and onion powder. Reserve about a tablespoon of this mix for later use in the sauce. Whisk in the flour until well combined; this will help create a lovely coating on the chicken.
Step 2: Prepare the chicken breasts by slicing them in half horizontally to create four fillets. Cover them with plastic wrap and pound to an even thickness using a meat mallet or the side of a can. This ensures even cooking.
Step 3: Once pounded, pat the chicken dry to help the seasoning stick better. Dredge each breast in the seasoned flour mixture, shaking off any excess before transferring them to a dry surface.
Step 4: Heat a large skillet over medium-high heat and melt the butter with the olive oil. Make sure the pan is hot before adding the chicken. Cook the chicken for about 4 to 5 minutes on each side, or until it’s golden brown and fully cooked. Transfer the chicken to a plate, leaving any remaining oil in the skillet.
Step 5: Without wiping out the skillet, add a bit more oil if needed to have about a tablespoon left in the pan. Heat it over medium-high heat and add the chopped onions. Cook for about three minutes until they start to become translucent.
Step 6: Next, add in the halved cherry tomatoes, bell peppers, and minced garlic. Cook these for about two minutes, stirring frequently. This will release their flavors and create a wonderful aroma.
Step 7: Pour in half of the chicken broth to help deglaze the pan, scraping up any flavorful bits at the bottom. In a separate bowl, whisk the remaining broth with cornstarch until smooth, and then add this to the skillet along with the heavy cream.
Step 8: Bring the mixture to a simmer, stirring occasionally until it thickens. This should take about 5 to 7 minutes.
Step 9: Reduce the heat to low and stir in the Parmesan cheese until it melts into the sauce, followed by the lime juice. Taste the sauce and adjust the seasoning with salt, pepper, and extra cayenne if desired.
Step 10: Finally, return the cooked chicken to the skillet, allowing it to heat through for about a minute. Serve immediately, garnished with fresh parsley and a squeeze of lime juice if desired.
