The company told investors it is looking at candidates with the relevant experience who would complement its board.
Bacanora is currently undertaking a feasibility study at its Sonora lithium carbonate project in Mexico.
Broker Numis expects the mine to initially produce around 17,000 tonnes of lithium carbon a year, scaling its way up to 35,000 tonnes.
Construction at Sonora is scheduled to be completed by the end of 2018, with first production slated for 2019.
Shares were unchanged at 75.5p on Thursday morning.