Final answer:
Napoleon Bonaparte's quotation, "An army marches on its stomach," highlights the critical role of military culinary services in supporting and sustaining an army's effectiveness during campaigns.
Step-by-step explanation:
The famous quotation attributed to Napoleon Bonaparte that is most relevant to the military culinary services is "An army marches on its stomach." This phrase underscores the importance of adequate and efficient food supply to the functioning of an army. Napoleon's success was partially due to his revolutionary approach to military logistics, including ensuring that his armies were well-provisioned. His strategic understanding that soldiers needed to be adequately fed to maintain their fighting effectiveness influenced how he planned and executed his military campaigns, as well as how he managed the large units comprising infantry, cavalry, artillery, and support services. In other words, Napoleon knew that sustenance was as critical to a military operation as the soldiers themselves.