  Dark photon dark matter that has a kinetic mixing with the Standard Model
photon can resonantly convert in environments where its mass $m_{A'}$ coincides
with the plasma frequency. We show that such conversion in neutron stars or
accreting white dwarfs in the galactic centre can lead to detectable radio
signals. Depending on the dark matter spatial distribution, future radio
telescopes could be sensitive to values of the kinetic mixing parameter that
exceed current constraints by orders of magnitude for $m_{A'} \in \left(6\times
10^{-6},7\times 10^{-4}\right)$ eV.
