We have calculated electron capture rates for neutron-rich N = 50 nuclei ( 78 Ni, 82 Ge, 86 Kr, 88 Sr) within the Thermal QRPA approach at temperatures T = 0, corresponding to capture on the ground-state, and at T = 10 GK (0.86 MeV), which is a typical temperature at which the N = 50 nuclei are abundant during a supernova collapse. In agreement with recent experiments, we find no Gamow-Teller (GT+) strength at low excitation energies, E < 7 MeV, caused by Pauli blocking induced by the N = 50 shell gap. At the astrophysically relevant temperatures this Pauli blocking of the GT+ strength is overcome by thermal excitations across the Z = 40 proton and N = 50 neutron shell gaps, leading to a sizable GT contribution to the electron capture. At the high densities, at which the N = 50 nuclei are important for stellar electron capture, forbidden transitions contribute noticeably to the capture rate. Our results indicate that the neutron-rich N = 50 nuclei do not serve as an obstacle of electron capture during the supernova collapse. PACS numbers: 26.50.+x, 23.40.-s 21.60.Jz, 24.10.Pa,