The average star in our Galaxy moves at a speed of about 10 kilometers per second or, in terms of kilometers per hour, at a speed of about 36,000 kilometers per hour. Well, in one hour, the star moves a distance of 36,000 kilometers at most. To figure this out, we need to know the distance to Proxima Centauri . Proxima Centauri is about 10 kilometers from us.
Stars appear to be stationary on the sky because of their exceedingly large distances.