  The M87* black hole shadow observation by the Event Horizon Telescope (EHT)
has enabled us to test the modified gravity theories in the extreme-field
regime and estimating the black hole parameters. Having this assertion, we
investigate the Kerr-like rotating black holes in $4D$ Einstein-Gauss-Bonnet
(EGB) gravity and deduce their shadows. Considering the inclination angle
$\theta_0=17^o$, we show that the EGB black hole shadows are smaller and more
distorted than for the Kerr black holes. Modelling the M87* black hole as the
EGB black hole, we predict the shadow angular size $35.7888\mu as\leq
\theta_d\leq 39.6192\mu as$. The M87* black hole shadow angular size
$\theta_d=42\pm 3\mu as$, within the 1$\sigma$ region, constrains the GB
coupling parameter and the black hole spin parameter. Interestingly, the
circularity deviation of the EGB black hole shadows is smaller than the bounded
deduced for the M87* black hole.
