Thinly slice the zucchini into long strips using a grater, mandoline or sharp knife. Aim to produce slices that are only 1-2mm thick.
Put the oil and butter in a heavy frypan and heat on medium. When the oil is hot add the sliced zucchini and saute until softened, stirring occasionally. This takes only 2 to 3 minutes but a bit longer if you have more zucchini.
Add the herbs and squeeze in the juice of half a lemon. Stir to mix and transfer to a serving dish. Grind on some black pepper.