That is not quite the case. You can use the Earth as your frame of reference. In fact, one of my orbit classes at NASA did exactly that. We used the Earth as a frame of reference instead of the sun when we described the celestial sphere. (It described the Sun orbiting the Earth in that reference frame.)
That would be a good exercise to see what people know, but I doubt that the Geocentric side won the discussion. You might have gotten away with it in the time of Corpernicus or Galileo, but not today for several reasons. One is that a Geocentric theory requires epicicles, and we know they do not occur. Another is that we are now able to observe the motions of the planets from a different frame of reference than Earth and that gives certain proof of the Heliocentric theory.