Sergei Storchak, who was scheduled to accompany the finance minister on a trip to South Africa, was detained along with two businessmen late last Thursday in Moscow on suspicion of large-scale fraud. The court issued an arrest warrant the following day.
Anna Usacheva, the head of the court's press office, said a date had not yet been set to hear the appeal.
Russia's Investigative Committee earlier said Storchak had been arrested due to prosecutors' concerns that he could destroy evidence or intimidate witnesses.
Storchak's lawyer said on Wednesday that his client could be officially charged at the end of the week.
"On Friday, the prosecutor is expected to bring charges," Igor Pastukhov said.
The Investigation Committee earlier said the arrest was related to the settlement of Soviet-era debt to commercial firm Sodexim and that Storchak was arrested along with Sodexim General Director Viktor Zakharov, and the president of Moscow-based Interregional Investment Bank, Vadim Volkov.
A spokesman for the Investigative Committee said the men are suspected of setting up an organized group plotting large-scale state budget fund fraud and may face between five and ten years in prison.
Finance Minister Alexei Kudrin earlier said he was surprised at Storchak's arrest and considered the measure against his subordinate to be excessively harsh.
A key figure in Russia's Paris Club debt talks, Storchak assumed his current post in November 2005. In 2004, when he was still head of the international finance and foreign debt department in the ministry, his deputy was arrested on graft charges.
