Can the interferometer called "Gravity" measure "a few centimeters on the Moon"?
A 130m baseline operating at 2 microns gives a theoretical resolution of $2\times 10^{-6}/130$ radians. At a distance of 400,000 km this translates to 6m.

My guess is that Genzel is referring to the accuracy with which the position of a point source of light can be measured. This not the same thing as the smallest thing you can image. The centroid of a Gaussian can be measured much more precisely than its FWHM.

The moon landing sites have been photographed by the lunar reconnaissance orbiter. If the 'foil hat brigade don't believe that, they aren't going to believe a reconstructed interferometric image in any case.