  We study the propagation of scalar fields in the background of
$2+1$-dimensional Coulomb like AdS black holes, and we show that such
propagation is stable under Dirichlet boundary conditions. Then, we solve the
Klein-Gordon equation by using the pseudospectral Chevyshev method, and we find
the quasinormal frequencies. Mainly, we find that the quasinormal frequencies
are purely imaginary for a null angular number and they are complex and purely
imaginary for a non null value of the angular number, which depend on the black
hole charge, angular number and overtone number. On the other hand, the effect
of the inclusion of a Coulomb like field from non lineal electrodynamics to
General Relativity for a vanishing angular number is the emergence of two
branches of quasinormal frequencies in contrast with the static BTZ black hole.
