The helicity form factors of the D (s) → A ℓ ν with A = a 1 - , a 1 0 , b 1 - , b 1 0 , K 1 (1270) and K 1 (1400) are calculated in the light-cone sum rules approach, up to twist-3 distribution amplitudes of the axial vector meson A. In the helicity form factors parametrization the unitarity constraints are applied to the fitting parameters. In addition, the effects of the low-lying resonances are included in series expansions of aforementioned form factors. The properties of the D (s) → A ℓ ν semileptonic decays are studied by extending the form factors to the whole physical region of q 2 . For a better analysis, a comparison is also made between our results and the predictions obtained using transition form factors via LCSR, 3PSR and CLFQM methods.