Motivated by the analogous properties of $Z_c(3900/3885)$ and $Z_{cs}(3985/4000)$, we tentatively assign $Z_c(4020/4025)$ as $A\bar{A}$-type hidden-charm tetraquark state with $J^{PC}=1^{+-}$, where $A$ denotes axialvector diquark states, explore states without strange, strange hidden-strange via QCD sum rules in a consistent way. Then hadronic coupling constants two-body strong decays based on...