Bring a large pot of salted water to a boil. Add your 8 oz pasta and cook according to the package instructions until al dente. Drain the pasta, reserving about 1/2 cup of pasta water, and set aside.
Pat the chicken breasts dry and season both sides generously with salt and pepper. Heat 2 tablespoons of olive oil in a large skillet over medium heat. Add the chicken breasts and cook for about 5-6 minutes per side until golden brown and cooked through. Remove the chicken from the skillet and let it rest for a few minutes before slicing it into thin strips.
In the same skillet, add minced garlic and sauté for about 30 seconds until fragrant. Toss in the halved cherry tomatoes, dried basil, and oregano. Let the tomatoes cook down for 3-4 minutes until they start to soften and release their juices, creating a light sauce.
Return the sliced chicken to the skillet, then add the cooked pasta. Toss everything together gently to coat the pasta with the tomato and garlic mixture. If the sauce seems a bit dry, add a splash of the reserved pasta water to loosen it up.
Turn off the heat and fold in the fresh mozzarella cubes. The warmth from the pasta and chicken will soften the cheese, creating delicious pockets of creamy goodness throughout the dish.
Sprinkle the chopped fresh basil over the top and add grated Parmesan cheese to taste. Serve immediately for the best melty, gooey experience.