  We consider a non-Hermitian generalization of the Kitaev model and study the
existence of stable Majorana zero energy modes. We show that they exist in the
limit of zero chemical potential even if balanced gain and loss are randomly
distributed along the lattice. We show that Majorana zero modes also appear if
the chemical potential is different from zero provided that not the full
Hamiltonian but the non-Hermitian part of the Hamiltonian is PT symmetric.
