Richardson, who has already been selected for the T20 series, takes his place in the Australia squad for the first time since February 3, 2016.
He has taken a total of 14 wickets in 12 ODI matches, including a five-wicket haul against India in Canberra on 20 January 2016.
Quick Single: Redbacks trio to tour India
Hazlewood will return home after suffering a side strain during Australia's first Test in Bangladesh and will return home for further assessment.
Richo was also selected for Australia's intra-squad match in Darwin, in preparations for the Bangladesh Test tour // Getty Images