The eROSITA instrument, onboard of the Russian-German Spectrum-Roentgen-Gamma (SRG) satellite, will image the entire sky in X-rays. The superb sensitivity of the resulting eROSITA All-Sky Survey (eRASS) will enable pioneering discoveries in many fields of astrophysics. Most notably, the eRASS will detect a vast number of galaxy clusters and active galactic nuclei both in the nearby and in the high redshift Universe. To carry out a thriving science program, it is essential to build a synergy between eROSITA and other ground-based and space-based telescopes. In this presentation, we will discuss Chandra X-ray Observatory follow-up observations of eROSITA-identified sources with particular focus on studies of galaxy clusters and active galactic nuclei. We will highlight science programs, utilizing the sub-arcsecond angular resolution of Chandra for follow-up observations, which will provide a definitive edge and lead to ground-breaking discoveries. In addition, we will present the initial results of the first Chandra follow-up observations of eROSITA targets identified during the Performance Verification phase.