As with platelets, neutrophil levels may become depressed in patients on myelosuppressive therapy such as imatinib mesylate (also called IM, Gleevec or Glivec). The normal range of the percentage of neutrophils is between 45% and 70%.More important than the percentage of neutrophils is the absolute neutrophil count (ANC) , which should fall between 1.0 to 8.0 k/ul.s with platelets, neutrophil levels may become depressed in patients on myelosuppressive therapy such as imatinib mesylate (also called IM, Gleevec or Glivec). The normal range of the percentage of neutrophils is between 45% and 70%.