In an interview with CBR, the scribe confirmed that the book's opening plotline is based on the villain's quest for ultimate power and will not feature The Man Of Steel.
"It's Lex Luthor's book, at least for the first story arc. I adore Superman, and I hope I get the chance to use him, but for now I'm pleased to be writing for Lex," he told the website.
"I think he's endlessly interesting, a collecting of urges and flaws which is deeply satisfying to write. He does some very terrible things in this book, but I think he's still a plausible lead.
"This isn't one of these books where we're asked to enjoy his evil in a wallowing way. I think we all like to root for what Lex could be. And when he goes up against things worse than he is, that's put into sharper focus."
Cornell also hinted that the plotline will see Luthor go up against an array of villains from the DC Universe's old rogues gallery. "This is a galactic tour of villains, including some from way outside Lex's normal titles and genres," he added.
Cornell's run on Action Comics begins with issue #891 in June.