  With the Field Correlator Method (FCM) for QCD, we show that the Chiral
Vortical Effect (CVE) in hot (strongly-interacting) Quark-Gluon Plasma ((s)QGP)
is modified by non-perturbative interactions: by Color-Magnetic confinement,
and by remnant Color-Electric interaction, which is encoded in the Polyakov
line. The obtained result demonstrates numerical suppression of CVE comparable
to the phenomenological suppression used for numerical simulations of RHIC-STAR
data on hyperons spin polarization in non-central heavy ion collision (HIC).
The parameters range in the temperature - quark chemical potential plane is
expected to cover ALICE and RHIC data. The chiral current is calculated for the
rigidly rotating model of (s)QGP in the linear order in angular velocity at the
rotation axis with account of non-perturbative interactions.
