Mitochondrial DNA mutations cause severe inherited disorders in humans. To date, there are a few therapeutic strategies for their correction; however, it is highly unlikely that they would be routinely used in clinical practice. The past few years have witnessed the rapid progress of a genome editing technology known as CRISPR/Cas9. The present review focuses on the current strategies to combat mitochondrial mutations and reveals their major drawbacks. The article also explores the possibility of creating a possible specific CRISPR/Cas9 tool for correcting mitochondrial DNA mutations and provides a rough description of its mechanism of action. A particular focus is paid to technical challenges. On the whole, we see no principal barriers to implementing a mitoCRISPR/Cas9 system for treating mitochondrial disorders.