What is the ruling on working in an Arab stock exchange whose tasks include issuing sales and purchase invoices?

The basic principle regarding seeking sustenance and striving to earn money is permissibility, but unlawfulness arises from the nature of the activity practiced.

Your profession cannot be judged except after knowing the activity of the institution you work for.

Generally, if the transactions you record involve usury (riba), then your work in it is impermissible, because Islamic law does not differentiate between the one who consumes usury, the one who provides it, the one who witnesses it, and the one who records it.