1. Heat the oven to 450°. In a large glass or stainless-steel bowl, combine the tomatoes, olives, parsley, chicken, salt, pepper, vinegar, and the 3 tablespoons oil.
2. Brush the tortillas on both sides with oil and then put on baking sheets, overlapping if necessary. Bake the tortillas until starting to brown, 2 to 3 minutes. Turn the tortillas and brown the other side, 2 to 3 minutes longer.
3. Remove the baking sheets from the oven and top each tortilla with an equal amount of the feta cheese. Return the baking sheets to the oven; cook until the cheese is just melting, 1 to 2 minutes longer. Top the tortillas with the chicken mixture.
Menu Suggestions: A fruit salad would be an easy and complementary accompaniment.
Wine Recommendation: The saltiness of the feta cheese and olives and the tartness of the tomatoes will pair well with the crisp acidity in a sauvignon blanc from either the Loire Valley or a northern region of Italy such as Collio or Veneto.