Preheat the oven to 375 degrees F. Lightly butter or spray a 6-cup nonstick muffin tin.
Toast the bread slice until crisp. Cool and cut the toast into small pieces into a medium-size bowl and add the oregano, artichoke hearts, cheese, and parsley.
Heat the oil in a small skillet over medium heat, add the onion, garlic, salt, and red pepper flakes, and cook until soft, about 5 minutes. Stir into the artichoke mixture.
Lightly beat the eggs in a small bowl until foamy, stir into the artichoke mixture; spoon a 1/4 cup of the mixture into each of the muffin cups. Cook until lightly puffed, golden, and just set in the center, about 17 to 20 minutes. Let cool on a rack for about 5 minutes, then remove the artichoke bites from the pan and serve warm.
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