  We present a detailed theoretical study of chiral topological superconductor
phases in proximity-superconducting graphene systems based on an effective
model inspired by DFT simulations. Inducing s-wave superconductivity to quantum
anomalous Hall effect systems leads to chiral topological superconductors. For
out-of-plane magnetization we find topological superconducting phases with even
numbers of chiral Majorana fermions per edge which is correlated to the opening
of a nontrivial gap in the bulk system in the $\mathrm{ K}$-points and their
connection under particle-hole symmetry. We show that in a quantum anomalous
Hall insulator with in-plane magnetization and nontrivial gap opening at
$\mathrm{M}$, the corresponding topological superconductor can be tuned to host
only single chiral Majorana states at its edge which is promising for proposals
exploiting such states for braiding operations.
