In fact, what Jesus did say was - whoever wants to be great among you must actually act the part of the servant (Mark 10.44). Jesus then went on to say that the first shall be last and the last shall be first.
This whole Jesus thing, if followed, would turn the world upside down. We might even be able to call it heaven.
Jesus finished this section of scripture with a flourish - putting his words into action - "for even the Son of Man (God) came not to be served, but to serve."