The HSF presented its submissions on the application to Judge Bill Prinsloo on Friday.
The foundation wants Dramat to be able to return to work.
Dramat was set to return to work last Friday, after Prinsloo ruled his suspension by Police Minister Nathi Nhleko was unlawful and invalid.
Prinsloo also ruled that Nhleko’s decision to appoint Maj-Gen Berning Ntlemeza as acting national Hawks head was unlawful and invalid.
Nhleko was appealing the ruling.
The police ministry said Dramat was not allowed to return to work until the appeal process had been completed.
Dramat was suspended on December 23, pending a probe into his alleged involvement in the illegal rendition of four Zimbabweans in November 2010.
The court would also hear the minister’s application for leave to appeal on Monday.