  In this note we discuss the possibility of detecting the accompanying X-ray
emission from sources of fast radio bursts with the eROSITA telescope onboard
the Spektr-RG observatory. It is shown that during four years of the survey
program about 300 bursts are expected to appear in the field of view of
eROSITA. About 1\% of them will be detected by ground-based radio telescopes.
For a total energy release $\sim~10^{46}$~ergs depending on the spectral
parameters and absorption in the interstellar and intergalactic media, an X-ray
flare 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 with
photon index $\Gamma=2 $ and realistic absorption). Thus, eROSITA observations
might help to provide important constraints on parameters of sources of fast
radio bursts, or may even allow to identify the X-ray transient counterparts,
which will help to constrain models of fast radio bursts generation.
