In a mixing bowl, combine the shredded chicken, cream cheese, mozzarella cheese, minced garlic, oregano, salt, and pepper. Mix until well combined.

Heat a skillet over medium heat and add the chicken mixture. Cook for about 5 minutes until heated through, stirring occasionally.

Lay a tortilla flat on a clean surface. Spoon a generous amount of the chicken filling onto the center of the tortilla.

Top with shredded lettuce, diced tomato, and sliced red onion.

Drizzle ranch dressing over the top, then fold in the sides of the tortilla and roll it up tightly from the bottom.

Repeat with the remaining tortillas and filling.

Cut each wrap in half and serve immediately, or wrap in foil for later.