01 - Cook pasta in a large pot of salted boiling water according to package directions until al dente. Reserve 1/2 cup pasta water before draining.
02 - Heat olive oil in a large skillet over medium-high heat. Season chicken pieces with salt and pepper, then sauté until golden and cooked through, approximately 6-8 minutes. Transfer to a plate and set aside.
03 - Reduce heat to medium and add butter to the same skillet. Sauté minced garlic for 1 minute until fragrant.
04 - Pour in heavy cream and bring to a gentle simmer. Stir in pesto and Parmesan cheese, mixing thoroughly until cheese melts and sauce achieves smooth consistency.
05 - Return cooked chicken to the skillet. Add drained pasta and cherry tomatoes. Toss to coat everything evenly in creamy pesto sauce. Add reserved pasta water a splash at a time if sauce becomes too thick. Adjust seasoning with salt and pepper to taste. Serve immediately with additional Parmesan and fresh basil.