this is a difficult question, because gender parity in the some country dependent to society culture. Bu t, I think CSR can be used for gender parity in the work place, out of society culture

It is very much possible to do so,by investing in bringing up more schools and colleges in which girls are encouraged more through scholarships and funds and taking development to villages and small towns

Using CSR within corporations to bring parity is very possibly especially if an organization is socially responsible internally and therefore work on human resources policies and practices to guard for gender parity. This can be researched doing exploratory research in different countries and selecting specific industries like for example service industry.