Were Sakura's parents ninjas? I remember reading somewhere that they were, but she was said to have come from a civilian family?
No, her parents are civilians.
In the movie: The road to Ninja, her parents were Ninjas (in the universe which Tobi made).
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1Actually sakura's father was a genin... It is mentioned in wikia naruto.wikia.com/wiki/Kizashi_Haruno Feb 6 '17 at 7:25
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But the Hokage, while introducing Kakashi to his team... he says that, "Sakura is from a civilian family". Feb 15 '17 at 13:51