If it's "etched" into the screen you likely can't do anything with it but the proper way to clean your screen is with a solution of 50% water and 50% rubbing alcohol and a very soft cotton cloth
Thanks, I've already tried that one but no luck ...oh well. Is this a common issue for laptops? And if so, how do you prevent it? I've read about putting a mouse pad in between...but that seems to thick and might crush the screen.
Sounds like your screen is scratched so not likely a lot of hope. A thin piece of foam, like new electronics sometimes come sealed in would be good to use, it's white and about ~ 1mm thick or so. Not sure what it's called but I have a large piece here an LCD monitor came wrapped in if you want it.
I keep a clean swiffer cloth around for quick screen dusting. You can store it over the keyboard to prevent finger residue from transfering from the keys to the screen