Arthroscopic rotator cuff repair (ARCR) and reverse shoulder arthroplasty (RSA) are among the most commonly used surgical treatment methods. A growing number of studies assess the changes in the biomechanical and viscoelastic properties of the muscles and tendons surrounding the shoulder joint. Therefore, the aim of this study was to review the literature to determine how the biomechanical properties of the muscles surrounding the shoulder joint change as a result of ARCR and RSA, and whether MyotonPRO was used in this group of patients. Methods: A review of the international scientific literature was conducted in September 2025. The study was based on searches of the following databases: Google Scholar, PubMed, Scopus, and Web of Science. A final total of 32 articles were included in the review. Results: In this article, we have shown that ARCR and RSA procedures cause changes in the biomechanical properties of the muscles surrounding the shoulder joint. We also demonstrated that MyotonPRO has been used in this group of patients in a limited number of studies. However, the studies confirm that it is a reliable tool for examining upper limb muscles. Conclusions: This literature review demonstrates a new direction in research using MyotonPRO. Using this device in muscle testing in patients after ARCR and RSA will allow for a better understanding of the changes that occur in muscles as a result of these procedures, as research in this area is new and incomplete.