Hair transplants typically do not turn grey on their own. The color of the transplanted hair will largely depend on the characteristics of the donor hair, which is usually taken from the back or sides of the head, where hair is less likely to turn grey with age.
The reason behind this is that the hair follicles in the donor area are genetically resistant to the effects of dihydrotestosterone (DHT), which is the hormone responsible for hair loss and greying in some people. As a result, the transplanted hair often retains its original color, texture, and characteristics from the donor area.
The surrounding native hair on the recipient area may continue to grey naturally with age. This contrast between the transplanted hair and the native grey hair may become more noticeable as time goes on. To address this, you may choose to dye or color their hair to match the transplanted hair and achieve a more consistent appearance.
Hair transplants themselves do not cause hair to turn grey, but the aging of native hair in the recipient area may result in a contrast between the transplanted hair and the surrounding grey hair over time.