The protocol proposed in the commented-upon article can certify zero discord; however, it fails to quantify non-zero discord for some states. Further, the protocol is less efficient than calculating discord via performing full quantum state tomography.
@article{arxiv.2007.12345,
title = {Comment on "How to observe and quantify quantum-discord states via correlations"},
author = {Parveen Kumar and Kyrylo Snizhko},
journal= {arXiv preprint arXiv:2007.12345},
year = {2020}
}