Preheat your oven to 400°F (200°C) and line a baking sheet with parchment paper.
Season the chicken breasts with salt and black pepper. In a skillet over medium-high heat, warm 1 tablespoon of olive oil. Cook the chicken for about 5-7 minutes per side until fully cooked at an internal temperature of 165°F (74°C). Allow to rest before shredding or dicing.
Spread fresh basil pesto evenly on each flatbread, leaving a small border. Top with shredded chicken, mozzarella, and Parmesan cheese.
Scatter halved cherry tomatoes over the top. Bake for about 10-15 minutes until the cheese is melted and bubbly.
Let cool slightly before garnishing with fresh basil leaves and slicing into pieces.