Heat oven to 180 C. Brush a medium baking dish with olive oil.
Pat zucchini dry after a light season with salt.
Whisk cream eggs garlic nutmeg salt and pepper in a bowl.
Layer zucchini in the dish. Pour some cream mix. Add a handful of cheese. Repeat the layers. Finish with cheese on top.
Bake 35 to 40 minutes until the top looks deep gold and the center feels tender.
Rest 10 minutes so the sauce settles. Scatter thyme. Serve warm.