Preheat your oven to 400°F (200°C) and line a baking sheet with parchment paper.
Slice the chicken breast into long, thin strips about 1/2 inch wide to resemble 'fries'.
In a shallow bowl, whisk the egg until smooth.
In a second shallow bowl, combine the grated parmesan, almond flour, garlic powder, onion powder, smoked paprika, sea salt, and black pepper.
Dip each chicken strip into the egg wash, allowing any excess to drip off, then dredge thoroughly in the parmesan mixture.
Place the coated chicken fries onto the prepared baking sheet in a single layer, ensuring they do not touch.
Lightly mist the chicken fries with avocado oil to help them brown and crisp up in the oven.
Bake for 15-18 minutes, flipping halfway through, until the coating is golden brown and the chicken is cooked through.
While the chicken bakes, whisk together the Greek yogurt, lemon juice, and dried dill in a small ramekin to create the dipping sauce.
Serve the hot chicken fries immediately with the chilled yogurt dip on the side.