Slice the chicken breasts into long strips, about 3 strips per breast, and set aside. In a large bowl, whisk together buttermilk, salt, garlic powder, onion powder, hot sauce, and paprika until fully combined, then submerge the chicken in the marinade. Cover and refrigerate for at least 4 hours, preferably overnight, to tenderize and build flavor.
In a separate bowl, combine flour, potato starch, garlic powder, onion powder, salt, and black pepper. Remove the chicken from the marinade, letting excess drip off, then press firmly into the breading mixture on both sides to ensure a thick, even coating.
Preheat a Dutch oven with 2–3 inches of peanut oil to 350°F over medium-high heat. Fry the chicken in batches of 3–4 strips at a time for 5–6 minutes, turning occasionally, until golden brown and the internal temperature reaches 165°F.
Transfer the fried chicken to a wire rack and immediately season lightly with salt while hot. Let the tenders rest for a few minutes to maintain their crisp texture.
To make the sauce, squeeze the roasted garlic cloves into a bowl and mash into a paste. Add mayonnaise, sugar, Parmesan, apple cider vinegar, lemon juice, salt, red pepper flakes, oregano, basil, black pepper, and minced Fresno chile, stirring until smooth and fully combined.
Toss the warm chicken tenders in the garlic Parmesan sauce until evenly coated. Serve immediately, and for an extra flavor boost, dip them in buffalo sauce on the side.