No, hair itself does not need oxygen to survive. Hair is a dead structure composed primarily of protein called keratin. While it's true that hair follicles need oxygen to grow and thrive, the hair shaft itself doesn't require oxygen to remain intact.
The oxygen that hair follicles receive comes from the blood, which delivers nutrients and oxygen to the scalp. Proper blood circulation in your scalp ensures a steady supply of blood to the hair follicles, thus ensuring a longer anagen phase (growth phase) for the hair.
However, you may find information about the need for oxygen in relation to hair care products, like in the case of using oxygen-based treatments or hyperbaric oxygen therapy. This is because these methods aim to improve blood circulation to the scalp, not to directly provide oxygen to the hair.