What does a high immature granulocyte count mean if the rest of my wbc are normal?

It depends: The WBC count normally has mature granulocytic blood cells. If they are immature then we need to know how immature and how many there are(%age). Infections can cause immature granulocytes to show up in blood for a short time period and then normalize. I would ask you to repeat your CBC and WBC and differential count. If the abnormaility persists more than a couple of weeks, see a speicialist.