Lightly grease a 9- by 13-inch baking dish with olive oil or nonstick cooking spray.
In a medium mixing bowl, beat the eggs, chicken broth, salt and pepper. Stir in the green onions and cubed bread, making sure all of the bread gets coated with the egg mixture.
Pour the mixture into the baking dish, cover tightly and refrigerate overnight.
Preheat the oven to 350°. Uncover the strata and bake it for 45 minutes, until it has puffed up and turned golden brown on top. Sprinkle with chopped parsley and serve.