Miteb was among dozens of royal family members, ministers and current and former senior officials who were rounded up in a graft inquiry at least partly aimed at strengthening the power of Crown Prince Mohammed bin Salman.
It was not immediately possible to confirm the reports of his release and Saudi officials had no immediate comment.
"Almighty, thanks be to you..." wrote Abeer bint Khaled bin Abdullah in a posting on her Twitter account. Posting an apparent file photo of Prince Miteb, she added: "May God give you long life, long life full of health, and keep you for us."
Writing on his Twitter account, Moaid Mahjoob, who identifies himself as director of external relations for Princess Jawahar Al-Saud, another Saudi royal family member, said Prince Miteb " had been released and that he was at his home in Riyadh".
The posting of a photo and thanksgiving to God indicates the author of the Tweet believes Prince Miteb has been freed.
Before he was sacked by a royal decree on Nov. 4, Miteb headed the Saudi National Guard, an elite internal security force originally based on traditional tribal units that was run by his father for five decades.
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