The moves are effective Nov. 1, when Jackson, 72, will retire from his post as well as the company's board, the nation’s largest new-vehicle retailer said.
Manley, 57, had been CEO of Fiat Chrysler Automobiles before its merger this year with PSA Group. He was then named head of Americas for Stellantis.
AutoNation previously had said Jackson, AutoNation’s longtime leader, would retire as CEO by April 2022.
Manley, who will be the fourth person to hold the AutoNation CEO title since 2019, brings a wealth of automaker experience to AutoNation. His current role at Stellantis was created with the January merger of FCA and PSA. He was CEO of FCA from July 2018 to January 2021.