The court of Additional Chief Metropolitan Magistrate M H Patel said de-freezing of the bank accounts may affect the investigation into the case.
The court in its order also observed the accused persons did not cooperate with the investigation.
The three bank accounts in Union of Bank of India and IDBI Bank were frozen by the city crime branch after it began investigating the case wherein Teesta and others are accused of misappropriation of funds to the tune of Rs 1.51 crore, raised for construction of a museum at Gulberg Society, the site of one of the bloodiest incidents in 2002 riots.
The complaint in this regard had been filed by one of the residents of Gulberg Society, Firoz Khan Pathan alleging the money raised to construct the museum in memory of those killed during the communal riots were not utilised for the said purpose.
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An FIR had been registered on January 5 under sections 120 (B) (criminal conspiracy), 406 (fraud) and 420 (cheating) of IPC against Teesta, Anand, Tanvir Jafri, son of ex-Congress MP Ehsan Jafri who was one of the victims of Gulbarg massacre, Gulberg Society chairman Salim Sandhi and its secretary Feroz Gulzar for allegedly usurping Rs 1.51 crore.
Alleging that part of money was used for "personal spending", Choksi had said some bank accounts were not audited for more than five years.
In her submission filed through advocate Mihir Desai, Teesta alleged this action of Gujarat police is vindictive and taken at the behest of the state government because she took the side of the victims of the 2002 riots.
69 people, including Zafri, were killed by a mob at Gulberg Society here on February 28, 2002 after the Godhra train burning incident.