  In a recent work [M. Jiang, M. Moeller, M. Berciu, and G. A. Sawatzky, Phys.
Rev. B \textbf{101}, 035151 (2020)], the authors solved a model with a Cu
impurity in an O-2p band as an approximation to the local electronic structure
of a hole doped cuprate. One of their conclusions is that the ground-state has
only $\sim 50$ \% overlap with a Zhang-Rice singlet (ZRS). This claim is based
on the definition of the ZRS in a different representation, in which the charge
fluctuations at the Cu site have been eliminated by a canonical transformation.
The correct interpretation of the results, based on known low-energy reduction
procedures for a multiband model including 3d$^8$ and 3d$^{10}$ configurations
of Cu, indicates that this overlap is near 94 \%.
