This is called tinnitus, and it is usually described as a ringing and squeaking in one or both ears. Tinnitus can cause a number of factors, and may be side effects of antidepressants or sedatives. It can also occur due to a slight increase in blood pressure during anxiety attacks or is only the result of confused nerve signals.
None of this can harm you and you need to ignore everything as it will disappear with time. Listening to music through headphones is the best way to deal with tinnitus. Music overrides ringing in the ears and makes it much more bearable.