Add all of the ingredients for the chicken gyro recipe to a slow cooker. Cook on high for 3-4 hours, or until chicken is fully cooked and easily shreds apart. Use two forks to finely shred the chicken, and leave in the slow cooker.
Toss Greek pico salad ingredients together and set aside.
Add all ingredients for the homemade tzatziki sauce into a blender or food processor and pulse a couple of times until cucumber is finely chopped. Pour into a small bowl and set in fridge until you're ready to serve the quesadillas. This is going to be a delicious dipping sauce for the quesadillas!
Ok, let's get started on the quesadillas! After the chicken is completely cooked and shredded, place large skillet on stove top over medium heat and drizzle in some olive oil. Spread olive oil with spatula to cover the skillet.
Spread 1 tbsp hummus on one side of a slice of pita bread. Place the pita bread on the skillet with the hummus side up. Sprinkle some Mozarella cheese on top, and then evenly spread some olives, sliced tomatoes, and shredded chicken. Cook on skillet for 4-5 minutes, or until cheese is melting. Sprinkle more cheese on top of the shredded chicken, spread another tbsp of hummus on another slice of pita bread, and place the hummus side down on top of the quesadilla mixture. Flip the quesadilla to cook on the other side. Remove from heat and set aside once cheese is melted on both sides. Repeat for remaining quesadillas.
Slice quesadillas into fourths and serve with Greek pico salad and tzatziki dipping sauce. Enjoy with family and friends around your table!