Preheat your oven to 180°C (350°F).
In a small bowl, mix the finely chopped parsley with olive oil and salt. Stir well to combine.
Roll out the puff pastry sheet on a baking tray lined with parchment paper.
Spread the cream cheese evenly over the puff pastry.
Arrange the sliced eggplant, zucchini, and tomato rounds on top of the cream cheese in an overlapping pattern.
Drizzle the olive oil and parsley mixture evenly over the vegetables.
Bake in the preheated oven for 15-18 minutes, or until the pastry is golden and crispy.
Remove from the oven, let it cool slightly, and enjoy!