Trading is currently in test mode, it said in a statement.
The change may be a move by the government to end a crippling scarcity of foreign currency that has caused shortages of goods ranging from gasoline to bread.
In a letter to the government by the Confederation of Zimbabwe Industries (CZI) earlier this month, the business lobby group said the government should allow the trading of dollars in a bid to halt an economic collapse that has seen inflation at its highest in 11 years and businesses closing.
"This is a positive move since currently banks were not allowed to do interchange of FX," said Sifelani Jabangwe, president of the CZI.
"The fact that banks are now allowed interchange of FX is a positive step although we are not sure how it would operate. We believe this could actually allow barter trade for clients who have foreign currency."
