So someone flew a toy drone into our TV, I didn't realise it was an issue at first but now when there is a white background you can really see some red marks on the screen.
Hard Glass - use spectacle cleaning fluid or other solvent (lighter fluid) to remove what appears to be paint/plastic to me (but I'm looking at a photo).
Other materials may need more careful consideration as you could damage that with the wrong liquids. The TV maker's helplines could perhaps advise what could be used and must be avoided?
Unfortunately I suspect you'll do more harm than good if you try to remove the scratches. What model of TV is it? The surface it has will depend on what your options are, if any.