He will replace Simon Pritchard, who has stepped down from the role after nine years, though it is yet to announce what he plans to do next.
He also spent five years working in various roles for British Home Store (BHS), which Green controversially sold to businessman Dominic Chappell for £1 in 2015, before the company collapsed the following year.
Harding's new role at Arcadia will mark a return to retail after he dropped his chief customer officer at Mothercare in 2017.
His longest retail stretch was with House of Fraser, where he served as chief customer officer. He quit the high street retailer in 2016, just weeks after he orchestrated its first dedicated 'customer team.'
During his time at the department store, he took on responsibility for customer strategy across brand, marketing, digital and multichannel sales in the UK and internationally.