The church's modest size suggests that it was privately owned,[1] potentially by a member of the nobility.

The church was renovated at the end of the 19th century, during which a cornice was added under the dome, the walls were plastered, the frescoes were painted over,[2] the slab flooring was replaced with wooden flooring,[3] and the drum was covered in a wooden facade.

After the renovation, the building was consecrated as a church of the Alexander-Athos monastery.

The South Zelenchuksky Church is a three-apse three-nave cross-in-square building based on four square pillars, and plastered with a thin layer of grout.

Differences between this church and similar churches include its arches, which are uneven and are narrower than its pillars, and its vaults, which are shaped differently than most Alanian and Abkhazian architecture.