Death first appeared as the sister of Morpheus in Vertigo's The Sandman series written by Neil Gaiman.
Characters from The Sandman have rarely crossed over into the DC Universe, with most Vertigo roles kept separate to the superheroes of the company's main publications.
Action Comics writer Paul Cornell told CBR that the process of approving use of the character was simple enough.
"I'm not sure if there is a policy or what the policy is, because we went to Neil and we went to Vertigo, and once Nail said yes, Vertigo said yes," he said.
"I suspect it's a one-off. It's going to be Death doing what Death always does."
Death will appear in Action Comics #894 on sale in October.