Atlanta selected Chavez's contract from Triple-A Gwinnett on Thursday, Justin Toscano of The Atlanta Journal-Constitution reports.
Chavez signed a minor-league contract with Atlanta on Monday that includes an invitation to spring training.
Chavez agreed Sunday with the Twins on a one-year, major-league deal, John Bonnes of TwinsDaily.com reports.
The White Sox released Chavez on Saturday, Bob Nightengale of USA Today reports.
Chavez signed a minor-league contract with the White Sox on Thursday and received an invitation to major-league spring training, Daryl Van Schouwen of the Chicago Sun-Times reports.
Chavez was informed Friday that he will not be on Atlanta's roster for the NLDS, Mark Bowman of MLB.com reports.
Atlanta activated Chavez (shin) from the 60-day injured list Tuesday.
Chavez (shin) is set to begin a rehab assignment Tuesday with Triple-A Gwinnett.
Chavez (shin) threw another round of live batting practice Friday, David O'Brien of The Athletic reports.
Chavez (shin) said Monday that he threw a live batting practice session without any discomfort, Justin Toscano of The Atlanta Journal-Constitution reports.