shrink wrap film residue- how to remove

Hello,

I have high gloss speakers. I needed to shrink wrap the speakers to protect them as my unit needed a spray using chemicals. I place a drop sheet over them as well. I removed the shrink wrap and there are marks or residue on my speakers from the shrink wrap. I used a fine microfibre cloth and some distilled water but the marks are still there. Is this something that will take time to come out with repeated wipe downs?

Any suggestions on how to gently remove the residue from my high gloss speakers? Much appreciated.

2007audioman