Split each pita into 2 rounds and toast on a baking sheet in the middle of the oven until golden brown, about 10 minutes. Allow pitas to cool and break into bite-sized pieces. Set aside.
In a small bowl, whisk together the lemon juice, zest, salt and pepper. Add the oil and whisk to incorporate.
Toss the lettuce, parsley, scallions, cucumber, tomatoes, chickpeas and edamame together in a large bowl.
Right before serving, add the pita and dressing to the salad. Toss well to coat.