Exporters and the public can now open accounts in yuan, Australian dollars, Indian rupees and Japanese yen, Dhliwayo said. Zimbabwe abandoned its worthless currency in 2009.
It accepts the US dollar and the South African rand as the main legal tender. Their use has helped to stabilize the economy after world-record inflation threw it into a tailspin.
Independent economist Chris Mugaga said the introduction of the Asian currencies would not make a huge difference to Zimbabwe struggling economy.
"It is Zimbabwe Look East Policy, which has forced this, and nothing else," he said.
President Robert Mugabe has sought to boost economic relations with Asia after his relations with the West came under strain over his policy of seizing white-owned farms.
Chinese investors have over the past two decades entered diamond mining, construction and retail sectors in the south-east African country.