Our paper aims to extend fusion frames to Hilbert C \(^{*}\) -modules. We introduce \(^*\) -fusion frames associated to weighted sequences of closed orthogonally complemented submodules, showcasing similarities to Hilbert space frames. Using Dragan S. Djordjevic’s distance, we define submodule angles and establish a new topology on the set of sequences of closed orthogonally complemented submodules. Relying on this topology, we obtain for our \(^*\) -fusion frames, some new perturbation results of topological and geometric character.
