In 2019, the film launched at the Busan International Film Festival in South Korea, and was also shown at the Film Bazaar Viewing Room Recommendations section, at the International Film Festival of India, held in Goa. 1956, Central Travancore also premiered at the Moscow International Film Festival in October 2020, in the non-competitive section. It is one of two Malayalam language films to be screened at the festival, the other being Biryaani, directed by Sajin Babu. The festival was postponed from April in the same year due to the worldwide COVID-19 pandemic. Due to the pandemic travel restrictions, the cast and crew will not be present at the festival, but there will a virtual interaction with the director after the screening. In an introduction to the film, Kirill Razlagov, the programming director of the festival, remarks that the film is evocative of the "deep-rooted spiritual connections between India and Russia."
