  Parafermions are exotic quasiparticles with non-Abelian fractional statistics
that could be exploited to realize universal topological quantum computing.
Here, we study the scrambling of quantum information in one-dimensional
parafermionic chains, with a focus on $\mathbb{Z}_3$ parafermions in
particular. We use the generalized out-of-time-ordered correlators (OTOCs) as a
measure of the information scrambling and introduce an efficient method based
on matrix product operators to compute them. With this method, we compute the
OTOCs for $\mathbb{Z}_3$ parafermions chains up to $200$ sites for the entire
early growth region. We find that, in stark contrast to the dynamics of
conventional fermions or bosons, the information scrambling light cones for
parafermions can be both symmetric and asymmetric, even for inversion-invariant
Hamiltonians involving only hopping terms. In addition, we find a deformed
light cone structure with a sharp peak at the boundary of the parafermion
chains in the topological regime, which gives a unambiguous evidence of the
strong zero modes at infinite temperature.
