Bvudzijena said Gula-Ndebele had met James Mushore, the former director of banking group NMBZ Holdings, in September and promised he would not be arrested if he returned to Zimbabwe.
"At this meeting, it is alleged that Mr Gula-Ndebele gave Mr Mushore the assurance that he would not be prosecuted if he returned home," Bvudzijena said.
Mushore fled to Britain in 2004 at the height of a Zimbabwean banking crisis that saw several finance houses shut down by the country's central bank.
He was arrested last month upon his return to Zimbabwe.