I have two A3000s and for one of them, I snipped the battery off with wire cutters (it was leaking and I figured that cutting it off was less damaging than to let it continue leaking). The computer operated fine. I don't think you will have a problem with snipping it off though I suggest you be carful so you don't damage anything.
While I did replace the batteries, you certainly don't have to. Yet if nothing is wrong with your battery do you gain anythign by getting rid of it?