  Classical Hopf manifolds are compact complex manifolds whose universal
covering is $\mathbb{C}^d \setminus \{0\}$. We investigate the tropical
analogues of Hopf manifolds, and relate their geometry to tropical contracting
germs. To do this we develop a procedure called monomialization which
transforms non-degenerate tropical germs into morphisms, up to tropical
modification. A link is provided between tropical Hopf manifolds and the
analytification of Hopf manifolds over a non-archimedean field. We conclude by
computing the tropical Picard group and $(p,q)$-homology groups.
