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Cook the potatoes in microwave or in boiling water until just tender; cool until easy to handle. Cut each potato into 1 cm thick slices. Whisk the olive oil with the Italian seasoning, salt and pepper. Brush the oil mixture over both sides of each slice.
Turn the OptiGrill on. Select the Manual programme and press OK. Once the purple indicator light has stopped flashing, place the potatoes on the grill and close the lid.
Cook for 5 minutes, in batches if necessary, or until tender and well marked. Transfer the potatoes to a shallow serving platter and sprinkle with Parmesan cheese.