"The court has granted interim protection to Ghosalkar till March 11," public prosecutor Nileema Kasture said.
Ghosalkar has applied for anticipatory bail. His lawyer argued that the offence registered against him was bailable, and he was cooperating with the police.
The crime branch of the Mumbai police is likely to submit its say at the next hearing.
Suburban Dahisar police on February 5 registered a case against Ghosalkar under section 501 (printing or engraving matter known to be defamatory), 506 (criminal intimidation) and 509 (outraging the modesty of a woman).
She said she started getting obscene calls from unknown numbers as her phone number had been scribbled on the walls of a public toilet in the area.