Stars do appear to move in the night sky, but their motion is relatively slow and not as apparent as the moon's movement. The apparent motion of celestial objects, including stars and the moon, is primarily due to the rotation of the Earth on its axis.
The Earth completes one full rotation on its axis in approximately 24 hours, causing the sky to appear to rotate around us. This apparent rotation is responsible for the daily motion of celestial objects. As the Earth rotates, different stars come into view while others move out of sight below the horizon. This rotation gives the illusion of the stars moving across the sky.
The moon, on the other hand, orbits around the Earth. Its motion is more noticeable because it covers a larger distance across the sky in a shorter time compared to the stars. The moon takes about 27.3 days to complete one orbit around the Earth, resulting in its observable movement across the night sky.
So, while stars do move in the night sky due to the Earth's rotation, their motion appears relatively slow compared to the moon's faster orbital motion, making it less noticeable to the naked eye.