The 21-year-old, who played Spencer Moon, agreed to leave the soap in January after a failed suicide attempt last November.
The Sun had reported that instead of leaving by mutual agreement, Parker was sacked after refusing to see the show's psychologist.
Speaking today, Parker's solicitor, Jonathan Coad of Simkins, said that legal papers had been filed at the High Court in London.
He added that an earlier attempt of calling for an apology had been rejected by the newspaper.
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