Set your oven to 375 degrees F and prepare a baking sheet by lining it with parchment paper or a silicone mat.
In a food processor, combine fresh basil, pine nuts, grated parmesan, and garlic. Pulse repeatedly until finely chopped and starting to form a paste.
While the processor is running, gradually add olive oil to create a smooth pesto. Season with salt and pepper to your liking.
Place the chicken in a bowl or sealable bag; sprinkle with salt and pepper. Add half a cup of the pesto and rub it thoroughly over the chicken.
Arrange the coated chicken pieces evenly on the baking sheet.
Bake until the chicken reaches an internal temperature of 165 degrees F, about 20 to 30 minutes depending on thickness.
Remove the chicken from the oven and let it rest for five minutes before serving alongside the remaining pesto.