  The paper is devoted to the study of the asymptotic behaviour of Moran
process in random environment, say random selection. In finite population, the
Moran process may be degenerate in finite time, thus we will study its limiting
process in large population which is a Piecewise Deterministic Markov Process,
when the random selection is a Markov jump process. We will then study its long
time behaviour via the stochastic persistence theory of Bena\"im
\cite{benaimpersistence}. It will enable us to show that persistence can occur,
i.e. asymptotic coexistence of all species, when there are enough switching
possibilities. This is true even if one species has never a predominant
selection.
