Lt. Commander Geordi La Forge served under Zimbata as an ensign on the USS Victory and gave him the gift of a model of his command's namesake, the ancient Earth sailing vessel HMS Victory, in 2365. (TNG: "Elementary, Dear Data")
This character was only mentioned in dialogue.
Though La Forge stated that he served as an ensign under Zimbata in "Elementary, Dear Data", it was established in TNG: "Identity Crisis" that he was a lieutenant (junior grade) on the Victory in 2362 for the away mission to Tarchannen III. This partially dates Zimbata's command of the Victory, even though Zimbata was not mentioned in "Identity Crisis."
According to a deleted scene from TNG: "Chain of Command, Part I", Zimbata attended Starfleet Academy with Captain Edward Jellico; they played on the Academy's rugby team together, where Jellico was even worse than Zimbata.
The novel The Buried Age gives him the first name Marien.