Trim the stalk ends off the sprouts, remove the outer leaves and chop them in half.
Heat the oil in a large, lidded frying pan (or a casserole or large saucepan with a lid would also work), and add the ginger followed by the sprouts. Season generously with salt and black pepper, then cover with the lid and cook over a medium heat for 8-9 minutes, stirring occasionally, until the sprouts are cooked through but still retain some bite.
Sprinkle over the sesame seeds and stir through the sprouts, cook for a further minute, uncovered, then serve.