  Experimentally observed slow growth of hadron cross-sections at high energies
is a very intriguing but poorly understood property of QCD. It is tempting to
explain the slow growth by saturation of Froissart bound or another similar
universal mechanism. We reconsider derivation of Froissart bound in QCD in
chiral limit and argue it can not justify experimentally observed behavior.
Although the conventional Froissart-Martin bound should impose non-trivial
constraint on the growth of hadron cross-sections, because of the small value
of pion masses it will become restrictive only at currently unaccessible
center-of-mass energies exceeding $10^5-10^6$ GeV.
