Viewing the moon landing sites from Earth with a typical amateur telescope is not possible due to the limitations in resolution. The Apollo landing sites are located on the surface of the Moon, which is approximately 384,400 kilometers (238,855 miles) away from Earth. Even the most powerful telescopes available to amateur astronomers do not have the capability to resolve details small enough to identify structures or equipment left behind by the Apollo missions.
For reference, the largest telescopes, such as the Hubble Space Telescope, could barely detect the landing sites if they were aimed at the Moon specifically for that purpose; however, they are not configured for such observations, as their primary missions focus on distant astronomical observations.
The resolution required to see the remnants of the Apollo missions, such as the Lunar Module descent stages or the lunar rovers, would need to be less than about 2 meters per pixel, which is beyond the reach of current Earth-based telescopes due to atmospheric distortion and other factors.
However, lunar orbiters like NASA’s Lunar Reconnaissance Orbiter (LRO) have captured images of the Apollo landing sites from lunar orbit. These images show not only the equipment left on the lunar surface but also the astronauts’ footprints and rover tracks, providing a wonderful testament to human exploration.