In a large bowl, combine the ground chicken, pesto sauce, mozzarella cheese, Parmesan cheese, garlic powder, salt, and black pepper. Mix until well combined.
Preheat a large skillet over medium heat and add the olive oil.
Form the chicken mixture into 12 equal-sized patties.
Cook the patties in the skillet for about 5-6 minutes on each side, or until the internal temperature reaches 165°F and they are golden brown.
While the chicken is cooking, mix the mayonnaise and lemon juice in a small bowl.
Toast the slider buns lightly in the same skillet or in a toaster.
Assemble the sliders by spreading the mayo mixture on the bottom half of each bun, adding a chicken patty, and topping with fresh basil leaves if desired.
Place the top half of the bun on each slider and serve warm.