What can cause slightly elevated neutrophils? all other blood work normal, and doctor didn't make mention of this result. have been sick with a cold.

Neutrophils: Hard to answer that because "elevated" may mean simply a little above the upper limit of the range or it could be even higher. Either way, your doctor MUST explain this to you. If you can, please let me know what was found.

A non-problem: Reference ranges are set so that a few percent of healthy people fall outside on either end. And just taking a cold shower can shoot the neutrophils far into the "worry" range.