Eustochius of Cappadocia was a Greek orator of the 4th century CE. His epithet indicates an origin in the Anatolian province of Cappadocia. No details of his life, education, or career are recorded in the extant sources.

His sole surviving work is an Oration. The specific title, occasion, and content of this speech are not detailed in the sources.

Eustochius is a figure of minimal historical footprint. He is significant as an example of the continued practice of Greek oratory in the 4th century and illustrates the fragmentary transmission of later rhetorical texts, representing the broader tradition of provincial orators in the Later Roman Empire.