Halve or quarter each patty pan squash, cutting off the stem and end.
In a large stainless steel pan, heat half the oil over medium high heat. Add the squash and cook until golden brown on all sides, about 10 minutes, seasoning lightly with salt and pepper. Transfer to a plate.
Squeeze the lemon over the top of the squash, then sprinkle Parmesan over the top. Finish with a few torn leaves of basil.