In a small bowl, combine the ingredients for the marinade: chopped basil, olive oil, kosher salt and lemon zest. Mix well and set aside.
Place the chicken breasts in a shallow dish or large resealable plastic bag and pour half the marinade over them. Turn to coat evenly; then let them sit at room temperature for at least 30 minutes or overnight in the refrigerator. Reserve the remaining marinade.
Take out 4-6 ounces of goat cheese and make it into thin slices (you can also buy pre-sliced goat cheese). Place 4-6 slices of deli ham on top of each piece of chicken breast. Top with 1-2 slices of goat cheese, depending on size.
To make the mushrooms with lemon basil butter sauce, combine the reserved lemon zest, chopped basil, butter and kosher salt in a small bowl. Mix together until combined.
Heat a large skillet over medium-high heat and add the mushrooms and butter mixture to it. Saute for about 5 minutes or until softened and golden brown, frequently stirring so that they don’t stick to the pan or burn.
Remove from heat and set aside while you cook the chicken breasts in a separate skillet (or on the same skillet if there is enough space).
Heat a large skillet over medium-high heat and add 1 tablespoon of olive oil (or as needed). Add the chicken breasts and cook for about 3-4 minutes per side or until cooked through.
Once the chicken is cooked through, add the mushrooms with lemon basil butter sauce to the skillet and stir everything together until combined. Allow the mixture to simmer for a few minutes before serving.
Serve Carrabba’s Pollo rosa maria over your favorite pasta dish or on its own with a side salad or vegetables of your choice.