  We investigate the topological phase diagram of the $p$-wave superconducting
Haldane model. In two dimensions, we find a topological nodal superconducting
phase, which exhibits a chiral Majorana mode propagating along the edges of
nanoribbons with cylindrical boundary conditions. This phase is however
unstable in a finite two-dimensional rectangular-shaped lattice, yielding
corner states close to zero energy in a flake with alternating zigzag and
armchair edges. When we reduce one of the dimensions, quantum confinement gaps
out the bulk bands faster than the edge states. In this scenario, hybridization
between the edge states can then result in Majorana zero modes. Our results
hence suggest quantum confinement as a crucial ingredient in building
quasi-one-dimensional topological superconducting phases out of two-dimensional
nodal topological superconductors. Furthermore, we characterize the emergence
of this novel topological phase by means of its topological invariant,
coinciding with a quantized conductance of $2 e^2/h$ in a
normal-superconducting junction.
