According to ESRB, this game contains: Violence
Parents don't have much to worry about. Yes, the enemies express their desire to kill Superman, but no one dies in the game, and the most destructive violence is aimed at robots and rock monsters. Completely acceptable for even young teens.
Fans of the movie will probably be surprised that someone tried to make a game out of it.
Fans of Superman will be saddened and disturbed.
Deaf and Hard of Hearing gamers should be fine—there aren't any important audio cues, and all relevant mission information is printed on screen. There aren't any subtitles in the cutscenes, but all of the text is taken directly from the film, which does have subtitles.