Make the Crepe Batter: In a bowl, whisk flour, eggs, milk, olive oil, and salt until smooth. Let it rest for 10 minutes.
Cook the Crepes: Heat a non-stick pan over medium heat. Pour a thin layer of batter and swirl to cover the pan. Cook 1 minute per side. Repeat until all crepes are made (about 8 crepes).
Prepare the Filling: Heat olive oil in a pan. Sauté chopped spinach for 2–3 minutes until wilted. Remove from heat, mix in cheeses, parsley, salt, and pepper.
Assemble the Crepes: Spoon filling onto each crepe. Fold into quarters or roll up.
Serve Warm: Garnish with extra parsley and serve immediately.