  In a recent Letter [PhysRevLett.119.030601 (2017), arXiv:1702.08227],
Shiraishi and Mori claim to provide a general method for constructing local
Hamiltonians that do not exhibit eigenstate thermalization. We argue that the
claim is based on a misunderstanding of the eigenstate thermalization
hypothesis (ETH). More specifically, on the assumption that ETH is valid for
the entire Hamiltonian matrix instead of each symmetry sector independently. We
discuss what happens if one mixes symmetry sectors in the two-dimensional
transverse field Ising model.
