Preheat oven to 400°F and line a sheet pan with parchment paper.
Place chicken breasts on the sheet pan and brush both sides with olive oil, then season with minced garlic, Italian seasoning, salt, and pepper.
Scatter halved cherry tomatoes around the chicken on the pan.
Bake for 18-20 minutes until chicken is nearly cooked through and reaches an internal temperature of 160°F.
Remove pan from oven and top each chicken breast with slices of fresh mozzarella, then return to oven for 3-5 minutes until cheese is melted and chicken reaches 165°F.
Drizzle everything with balsamic glaze and top with fresh torn basil leaves before serving.