Heat the oven: Preheat to 375°F. Line a large baking sheet with aluminum foil and spray with cooking spray. Set aside.
Mix the breading: Place the crushed Goldfish crackers, bread crumbs, brown sugar, and salt in a shallow dish and stir to combine.
Add the oil: Drizzle the olive oil evenly over the crumb mixture and toss until the crumbs are evenly coated and slightly clumpy.
Set up the stations: Pour the flour into a second shallow dish and place the beaten eggs in a third.
Dredge in flour: Turn the chicken pieces in the flour to coat, then shake off any excess.
Dip in egg: Dip the floured chicken into the beaten eggs, letting the excess drip off.
Coat in crumbs: Press each piece into the crumb mixture until fully covered.
Arrange on the pan: Place the breaded chicken on the prepared baking sheet in a single layer, leaving space between the pieces.
Bake: Bake until crisp and deep golden brown, about 15 minutes. No need to flip.