Prepare the squash by washing it with cold water to get rid of dirt. Pat the squash dry using a kitchen towel.
With the help of a sharp knife, trim the two edges to create a flat surface. Now cut the squash lengthwise in half. Using a spoon, scoop the seeds. You can either discard them or save them for roasting later.
Place the half squash on a cutting board (cut side down). Using a sharp knife, slice the squash lengthwise into half-inch slices. The slices will look like half-moons.
Place a skillet over medium heat. Once it heats up, carefully place the delicate squash slices on the skillet.
Place the slices on a baking tray. Drizzle olive oil on top and brush it to cover the slices completely. Season generously with salt and black pepper.
Let them cook for 5 to 7 minutes or until they get a beautiful golden brown color.
Flip the slices to cook on the other side as well.
Once done, take the squash slices out of the skillet and transfer them to a serving plate. Sprinkle freshly grated parmesan cheese on top and Serve!