Heat a large skillet over medium heat with a drizzle of olive oil.
Add the spinach and cook for 3–4 minutes until completely wilted.
In a bowl, whisk together the eggs, salt, garlic powder, and black pepper.
Pour the eggs into the skillet with the spinach and add the crumbled feta cheese.
Cook over medium-low heat, stirring gently, until the eggs are soft, fluffy, and fully cooked, about 7–10 minutes.
Warm the whole-wheat wraps slightly to make them easier to roll.
Spread a thin layer of pesto down the center of each wrap.
Divide the egg mixture evenly among the wraps.
Fold in the sides and roll tightly into burrito-style wraps.
Wrap each Spinach and Feta Egg Wrap in parchment paper or foil