Preheat your air fryer to 400°F (200°C).
In a shallow bowl, whisk the egg. In a second shallow bowl, combine the almond flour, garlic powder, onion powder, sea salt, and black pepper.
Dip the chicken breast into the egg, then coat thoroughly with the almond flour mixture, pressing down to adhere.
Place the chicken in the air fryer basket and cook for 12-15 minutes, flipping halfway through, until the internal temperature reaches 165°F and the crust is golden brown.
While the chicken cooks, prepare the dressing by whisking together the Greek yogurt, lemon juice, Dijon mustard, and anchovy paste in a small bowl.
Chop the romaine lettuce and place it in a large bowl. Toss with the prepared dressing until evenly coated.
Slice the crispy chicken into strips and place on top of the salad.
Garnish with the grated parmesan cheese and serve immediately.