A Melbourne court has given an international fugitive more time to decide whether he will fight extradition to the United States.

Richard Ammar Chichakli, 53, is wanted by US authorities for allegedly conspiring with a Russian arms dealer to buy planes to ship weapons to conflict zones across the world.

The office of the Australian attorney-general signed off on the US extradition request last week, Melbourne Magistrates Court heard on Tuesday.

Chichakli's lawyer Ryan Maguire said he only received the documents relied upon by the attorney-general on Friday and more time would be needed to determine his client's next move.

The adjournment request was not opposed.

Chichakli is alleged to have been the chief financial manager of notorious weapons trafficker, Viktor Bout.

He addressed Magistrate Charles Rozencwajg directly as he was about to be led from court, complaining that he had not been provided with details of the charges he was facing.

"I'm in a jail where I do not have any access to legal services," he told Mr Rozencwajg.

Chickakli said Mr Maguire was the third legal-aid lawyer to represent him since he was arrested in January.

Mr Rozencwajg told Chichakli that Mr Maguire had been given access to all relevant documents in his case.

Chichakli was arrested in January after providing his fingerprints as part of an application to become a protective services officer with Victoria Police.

A US and Syrian citizen, he was arrested at the request of the US government on nine charges, including conspiring to violate economic sanctions, money laundering conspiracy and wire fraud, each of which carry a maximum 20-year jail term.

He will next face court on April 15.