  We apply the Chiral Quark-Soliton Model used previously to describe baryons
with one heavy quark to the case of heavy tetraquarks. We argue, that the model
is insenstive to the nature of the heavy object bound by the soliton, i.e. to
its mass and spin. Therefore, a heavy quark can be replaced by an anti-diquark
without modifying the soliton background. Diquark dynamics is taken into
account by means of the nonrelarivistic Schr\"odinger equation with the Cornell
potential. We fix the Cornell potential parameters from the charmonia and
bottomia spectra. We first compute $B_c$ meson masses to check our fitting
procedure, and then compute diquark masses by appropriately rescaling color
factors in the Cornell potential. We ten compute tetraquark masses and confirm
previous findings that only $bb$ tetraquarks are bound.
