  In this note, we use local duality Finite Energy Sum Rule (FESR) to test the
validity of the Laplace sum rules (LSR) results truncated at the dimension-six
condensates for the estimates of the masses and couplings of the Z_c-like
ground states in Ref.1 by taking the example of the D^*D molecule
configuration. We confirm the existence of an eventual (D^*D)_1 radial
excitation with a mass around 5700 MeV and coupling of 197(25) keV to the
current which may mask the eventual Z_c(4430) radial excitation candidate
(named (D^*D)_0 in Ref.1) having a relatively small coupling
f_{(D^*D)_0}=46(56) keV. We add more explanations on the estimates in Ref.1
from LSR and comment the results in Ref.2.
