Place chicken breasts into the crockpot and season with salt and pepper.
Add chicken broth, pesto, and 2 thin lemon slices to the crockpot.
Cover and cook for 2 hours on low, or until the chicken registers 165 degrees.
Shred chicken with 2 forks or your desired method.
Preheat oven to 375 degrees and lightly grease a 9u0022 by 13u0022 pan or foil pan.
Open the package of rolls and carefully slice the whole thing in half. Add the bottom half to the pan.
Add half the mozzarella to the bottom of the rolls. Add shredded chicken after that (you can layer it on thick or save a little for leftovers—I found I had enough chicken to make a few more sliders the next day!)
Brush the remaining 2 oz of pesto over the chicken.
Add the parmesan cheese, then the rest of the mozzarella.
Put the other half of the rolls back on top.
In a small bowl, combine melted butter, garlic, 1/4 tsp salt, fresh parsley and fresh basil. Brush over the rolls.
Cover the pan with foil and bake for about 15-20 minutes, or until cheese is melted. Remove the foil and bake for another 10 minutes or so, until the tops of the rolls are lightly crisp and golden.