Chop or shred the cooked chicken into small, bite-size pieces.
Assemble
Spread the hummus over the pita. Add the lettuce, chicken, tomato, cucumber, olives, and feta toward the center.
Fold one side of the pita over the filling, then fold the other side over it. Wrap with parchment if needed to hold it together.
Alternatively, cut the pita in half, open the pockets, and divide the hummus and fillings between the two halves.
Pack for lunch
Place the pita in its own lunchbox compartment and pack fruit, veggies, and other sides separately. Refrigerate until ready to pack inside an insulated lunch bag with an ice pack.