The decay Zc(3900)±→ωπ± is searched for using data samples collected with the BESIII detector operating at the BEPCII storage ring at center-of-mass energies s√=4.23 and 4.26 GeV. No significant signal for the Zc(3900)± is found, and upper limits at the 90% confidence level on the Born cross section for the process e+e−→Zc(3900)±π∓→ωπ+π− are determined to be 0.26 and 0.18 pb at s√=4.23 and 4.26 GeV, respectively.