Preheat the oven to 475 degrees F. Place 2 baking sheets in the oven.
In a separate bowl whisk the flour and salt together. Add the water and mix until a smooth dough forms.
Separate the dough into 4 equal pieces (use a kitchen scale) On a lightly floured pieces of parchment paper, roll each piece of dough out into an oval shape.
Spread the goat cheese/sour cream mixture out evenly over the four dough ovals.
Lay the zucchini strips on top of the cream layer. Arrange the plumcot slices on top.
Scatter the rosemary over each oval.
Lift up the parchment paper and transfer the flammkuchen on the parchment paper onto the preheated baking sheets in the oven.