In this work, we analyze the three-body B ðsÞ → η c ð1S; 2SÞKπ decays within the framework of the perturbative QCD approach (PQCD) under the quasi-two-body approximation, where the kaon-pion invariant mass spectra are dominated by the K Ã 0 ð1430Þ 0 , K Ã 0 ð1950Þ 0 , K Ã ð892Þ 0 , K Ã ð1410Þ 0 , K Ã ð1680Þ 0 , and K Ã 2 ð1430Þ 0 resonances. The time-like form factors are adopted to parametrize the corresponding S, P, D-wave kaon-pion distribution amplitudes for the concerned decay modes, which describe the final-state interactions between the kaon and pion in the resonant region. The Kπ S-wave component at low Kπ mass is described by the LASS line shape, while the time-like form factors of other resonances are modeled by the relativistic Breit-Wigner function. We find the following main points: (a) the PQCD predictions of the branching ratios for most considered B → η c ð1SÞðK Ã0 →ÞK þ π − decays agree well with the currently available data within errors; (b) for BðB 0 → η c ðK Ã 0 ð1430Þ →ÞK þ π − Þ and BðB 0 → η c K þ π − ðNRÞÞ (where NR means nonresonant), our predictions of the branching ratios are a bit smaller than the measured ones; and (c) the PQCD results for the D-wave contributions considered in this work can be tested once precise data from the future LHCb and Belle-II experiments become available.