Another name for hair pressing is:

Hair pressing is a technique used to straighten and smooth hair using a heated iron. The term "silking" accurately describes the effect achieved through this method, which is to create a shiny, smooth, and sleek appearance in the hair. The process involves the use of heated tools to temporarily alter the structure of the hair, resulting in a polished finish that resembles silk.

While other terms like "ironing" or "flat-ironing" do refer to methods of straightening hair, they do not capture the specific technique associated with hair pressing in the context of cosmetology, which emphasizes the finished look and texture. "Sleeking" is also related but more commonly refers to getting the hair to lay flat rather than focusing solely on the pressing technique itself. Thus, "silking" is the most appropriate term that correlates with hair pressing within the field.