Screen Rant pointed out earlier that a Tweet by Arrow star Stephen Amell shows off Superman in his black costume. The costume follows the death of Superman story line.
Comicbook.com has the first appearance of Superman in his black costume as Action Comics #689, this was the return of Superman. He was wearing a plain black suit with some design on it, but did not wear the black costume, to help him regain powers since he was depowered when he died, in Superman The Man of Steel #25. His first cover appearance in the black costume would have been on Superman #81
From Screen Rant:
A set photo for the 2018 Arrowverse crossover, titled “Elseworlds” and featuring Arrow, The Flash and Supergirl, reveals Superman (Tyler Hoechlin) will wear his black suit from the DC Comics. The CW has made an annual occurrence out of crossover over its DC Comics television shows, with the events getting bigger and bigger as the years go by – and as the network adds more series to its lineup. After two years of The CW’s four main DC Comics shows crossing over for massive events – “Invasion!” in 2016 and “Crisis on Earth-X” in 2017 – this year is expected to be a slightly smaller event.
While Arrow, The Flash and Supergirl will be featured in The CW’s 2018 Arrowverse crossover, titled “Elseworlds,” Legends of Tomorrow will be sitting out this year. (Fellow DC series Black Lightning has yet to be part of any crossovers and will remain separate this year.) However, to make up for the lack of the Legends team, “Elseworlds” will feature the return of Hoechlin’s Superman as well as the introductions of Ruby Rose’s Batwoman and Elizabeth Tulloch’s Lois Lane. Now, we get a look at Hoechlin back in costume as the Man of Steel – but he’s wearing a decidedly different costume.
A set photo for “Elseworlds” posted to Twitter by Stephen Amell reveals Hoechlin will be donning Superman’s black suit from the comics. See Hoechlin alongside Arrow’s Amell and The Flash’s Grant Gustin in the photo below.