After heart disease, cancer continues to be the second most prevalent cause of death in the USA. Several chemotherapeutic treatments (drugs) are available for cancer that use powerful chemicals to kill the body's rapidly proliferating cells. However, recent research disclosed that many clinically viable anticancer drugs have been developed with the help of chemicals originating from plants. A number of phytochemicals isolated from plants possess rhamnopyranoses and some of them are acyl rhamnopyranoses. Encouragingly, such compounds were reported for their cell proliferation and migration inhibition activities against invasive human triple-negative breast cancer cells. In this study, four naturally occurring rhamnopyranose esters were checked against three cancer-related proteins (PDB IDs: 3TJM, 4OAR, and 5FGK) via molecular docking. Rhamnose compounds 3-6 showed better binding energy compared to the related standard drugs in use in the hospitals. Compound 6 was found highly potential against all the proteins (-8.5 to -11.3 kcal/mol). ADMET studies have also been discussed in this respect. This study indicated that natural rhamnopyranose esters could be used to stop the spreading of cancer cells like other reported sugar fatty acid esters (SFAEs).