Simpsonville police investigator Cheryl Manley said in a court hearing Tuesday that Richard Inman had been cooperative in the investigation.
News media outlets reported that Inman is charged with robbing a bank in Simpsonville on Saturday. Investigators say a man handed a teller a note demanding money and saying he was armed.
Inman was arrested Sunday in Franklin County, Georgia.
He had been the police chief in Williamston until he resigned in 2011.
A magistrate has ordered that Inman wear an electronic ankle monitor if he is released from jail.
Inman said at a bond hearing Tuesday that he did not have an attorney.
Simpsonville is about 10 miles (15 kilometers) southeast of Greenville.