Black holes growing via the accretion of gas emit radiation that can photoevaporate the atmospheres of nearby planets. Here we couple planetary structural evolution models of sub-Neptune mass planets to the growth of the Milky way's central supermassive black-hole, Sgr A * and investigate how planetary evolution is influenced by quasar activity. We find that, out to ∼20 pc from Sgr A * , the XUV flux emitted during its quasar phase can remove several percent of a planet's H/He envelope by mass; in many cases, this removal results in bare rocky cores, many of which situated in the habitable zones (HZs) of G-type stars. Near the Galactic Center, the erosion of sub-Neptune sized planets may be one of the most prevalent channels by which terrestrial super-Earths are created. As such, the planet population demographics may be quite different close to Sgr A * than in the galactic outskirts. The high stellar densities in this region (about seven orders of magnitude greater than the solar neighborhood) imply that the distance between neighboring rocky worlds is short (500 − 5000 AU). The proximity between potentially habitable terrestrial planets may enable the onset of widespread interstellar panspermia near the nuclei of our galaxy. More generally, we predict these phenomena to be ubiquitous for planets in nuclear star clusters and ultra-compact dwarfs. Globular clusters, on the other hand, are less affected by the central black holes.