Heat the oven to 400 degrees and line a baking sheet with parchment paper.
Stir the pumpkin puree, olive oil, oregano, and salt together in a bowl until smooth.
Spread the pumpkin mixture evenly over each flatbread, leaving a small border around the edge.
Sprinkle the mozzarella cheese over the pumpkin layer on all four flatbreads.
Place the flatbreads on the baking sheet and bake for 8 to 10 minutes until the cheese melts and the edges turn golden.
Remove from the oven and immediately scatter the broccoli florets, cherry tomato halves, and pumpkin seeds across the top in a scattered patch pattern.
Finish with a few parsley leaves and serve while warm.