Preheat the oven to 375 degrees F (190 degrees C). Unroll the pie crust and press it into a 9-inch pie dish, crimping the edges.
Spread the chopped fresh spinach and shredded cheese evenly across the bottom of the prepared pie crust.
In a large mixing bowl, whisk together the eggs, heavy cream, salt, and black pepper until completely combined and frothy.
Carefully pour the egg mixture over the spinach and cheese in the pie dish, ensuring the fillings are submerged.
Bake in the preheated oven for 40 to 45 minutes, or until the center is just set and the crust is golden brown. If the crust edges brown too quickly, cover them with foil.
Remove the quiche from the oven and let it cool on a wire rack for 10 to 15 minutes before slicing and serving.