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In this note we discuss the possibility of detecting the accompanying X-rayemission from sources of fast radio bursts with the eROSITA telescope onboardthe Spektr-RG observatory. It is shown that during four years of the surveyprogram about 300 bursts are expected to appear in the field of view ofeROSITA. About 1\% of them will be detected by ground-based radio telescopes.For a total energy release $\sim~10^{46}$~ergs depending on the spectralparameters and absorption in the interstellar and intergalactic media, an X-rayflare can be detected from distances from $\sim 1$~Mpc (thermal spectrum with$kT=200$~keV and strong absorption) up to $\sim1$~Gpc (power-law spectrum withphoton index $\Gamma=2 $ and realistic absorption). Thus, eROSITA observationsmight help to provide important constraints on parameters of sources of fastradio bursts, or may even allow to identify the X-ray transient counterparts,which will help to constrain models of fast radio bursts generation.

On the possibility of registering X-ray flares related to fast radio bursts with the SRG/eROSITA telescope