We present the first upper-limit measurement of the branching fractions of the isospin-violating transitions χc0,2→π0ηc. The measurements are performed using 106×106 ψ(3686) events accumulated with the BESIII detector at the BEPCII e+e− collider at a center-of-mass energy corresponding to the ψ(3686) mass. We obtained upper limits on the branching fractions at a 90% confidence level of B(χc0→π0ηc)<1.6×10−3 and B(χc2→π0ηc)<3.2×10−3.