She was "misled by an [IS] member in Sweden to travel to Syria and later to Mosul", it added.
A spokeswoman for the Swedish foreign ministry told a Swedish newspaper that it had no information about the case.
The KRSC statement, which named the girl and included a photograph of her, said it had been called upon by Swedish authorities and members of her family to assist in locating and rescuing her from IS, which has controlled Mosul since 2014.
"She is currently in the Kurdistan Region and is provided the care afforded to her under international law," it added.
"She will be transferred to Swedish authorities to return home once necessary arrangements are put place."
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