  We investigate the resilience of symmetry-protected topological edge states
at the boundaries of Kitaev chains in the presence of a bath which explicitly
introduces symmetry-breaking terms. Specifically, we focus on single-particle
losses and gains, violating the protecting parity symmetry, which could
generically occur in realistic scenarios. For homogeneous systems, we show that
the Majorana mode decays exponentially fast. By the inclusion of strong
disorder, where the closed system enters a many-body localized phase, we find
that the Majorana mode can be stabilized substantially. The decay of the
Majorana converts into a stretched exponential form for particle losses or
gains occuring in the bulk. In particular, for pure loss dynamics we find a
universal exponent $\alpha \simeq 2/3$. We show that this holds both in the
Anderson and many-body localized regimes. Our results thus provide a first step
to stabilize edge states even in the presence of symmetry-breaking
environments.
