But Zod wasn't evil. He was heartless and cold but he was only that way toward humans. And why would he not be? Do you pity the ant you swat away when they're disturbing your picnic?
Zod as he said was created to secure and defend his people. The ends justified the means to him, 100% of the time, with no exception. Superman was just in the way. He was indifferent to humanity but who were we to him? If earth was destroyed, and me and my team was the only humans left, except this one human who was on a planet past Pluto that was perfect to foster humanity, with the exception that its populated by Rabbits, and I had a machine to kill all the rabbits and make it just like earth.....well...its hunting season.
Zod could have done the "AND I KILLED YOUR FATHER
" thing but why would he? It actually would have been out of charactor...