You definitely want to get rid of them, however, can you use just any cleaning wipe on your laptop screen? They may remove the various smudges and debris, but they could also be subtly damaging it.
Plus you may need water, and a clean spray cleaner bottle helps too ... screen as with a regular LCD screen, Silverman says.
The safest bet is to use disinfectant wipes that contain 70% isopropyl alcohol to clean your phone screen. Before the pandemic, we were instructed to not use disinfectant wipes on our phone ...