"Cop some z'" is an informal way of saying "get some sleep" or "take a nap". The concept of getting some rest can have a few antonyms, depending on the context. Some of the opposite terms can be "stay awake", "pull an all-nighter", "push through", or "endure sleep deprivation". These words emphasize the idea of staying up late, working hard, or fighting against tiredness. In contrast, other antonyms for "cop some z'" can include "waste time", "procrastinate", or "do nothing". These concepts imply a lack of productivity or engagement, as opposed to the active pursuit of rest and relaxation.