We show that interacting electrons in a flat Chern band can form, in addition to fractional Chern insulators, a chiral $f$-wave topological superconductor that hosts neutral Majorana fermion edge modes. Superconductivity emerges from an interaction-induced metallic state that exhibits anomalous Hall effect, as observed in rhombohedral graphene and near the $\nu =\frac{2}{3}$ fractional Chern insulator in twisted transition metal dichalcogenides.

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• Flat bands
• Fractionalization
• Superconductivity
• Topological phases of matter
• Topological superconductors
• Exact diagonalization