Unlike other pillows, you cannot clean Tempur-Pedic foam pillows by throwing them in the washing machine. Washing the pillows in water will cause the material to disintegrate. But, there are ways to keep your Tempur-Pedic pillows clean; most removable pillow covers are machine-washable.
Remove the cover to the pillow and wash the cover in cold water with mild soap. Dry on a clothesline or in the dryer at the lowest possible temperature. Do not over-dry.
Take the pillow outside, and roll it up tight, like a sleeping bag, and release. Do this with the pillow case removed.
Roll up the pillow in the opposite direction, and release. This will ventilate and fluff up the pillow material.
Put the clean pillow cover back onto the pillow.