"Jhye is performing exceptionally well, as we saw throughout the Big Bash," chief selector Trevor Hohns was quoted as saying by cricket.com.au. "He has slotted back into the T20 squad in South Africa and is pushing for a place in that side.
"We are very fortunate to have such a deep pool of fast bowlers. Jhye has earned his place after the hard work he has done to get back into his best form after serious injury.
"Keeping him in South Africa with the one-day squad gives us another exceptional fast bowler who is ready to go," he added.
Australia will play three-match ODI series against Proteas from February 29 and will then return to their home where they are scheduled to take on the Black Caps in three ODIs beginning March 13.
Australia ODI squad: Aaron Finch (c), Ashton Agar, Alex Carey (vc), Pat Cummins (vc), Josh Hazlewood, Marnus Labuschagne, Mitchell Marsh, Jhye Richardson (SA series only), Kane Richardson, D'Arcy Short, Steve Smith, Mitchell Starc, Matthew Wade, David Warner, Adam Zampa.