I hold shares in an Australian bank. What is the best way to sell them?

As in the shares of any country, much will depend on whether the shares are held in electronic (dematerialised) or paper (share certificate) format. Methods and charges will vary between brokers, some of whom will use their own Australian agents on your behalf, but most of whom will settle with you in sterling assuming you are a UK reader. At Hargreaves Lansdown , for example, we would ask for a photocopy of either the share certificate or confirmation of holding prior to dealing, to ensure that the correct line of stock is being sold dealing errors are notoriously expensive for international shares and so best avoided! and our charges would be at 1.5% of the consideration (number of shares multiplied by the price) subject to a minimum of £25.  more