Henry Cavill made very sure to point that he is indeed Superman and that Dwayne Johnson is Black Adam, as well as putting in that “DC worlds will collide” hashtag.
That is enough to make us think that perhaps at some point in the future, Black Adam and Superman are going to be duking it out in the DCEU.
As of right now, Man of Steel 2 is in some form of development, which will come out at some point after Justice League.
What we do know, at least according to Dwayne Johnson, is that we won’t see him fight Superman in the first Shazam! movie.