Chapman was released Wednesday by the Twins, Brandon Warne of ZoneCoverage.com reports.
Chapman was traded Monday to the Twins in exchange for left-hander Danny Santana.
Chapman was outrighted to Triple-A Gwinnett on Friday.
Chapman was claimed off waivers by the Braves Monday.
The Astros placed Chapman on waivers Sunday, Jake Kaplan of the Houston Chronicle reports.
Chapman was recalled from Triple-A Fresno on Monday, MLB.com reports.
Chapman will be recalled before the second game of Thursday's double-header.
Chapman was optioned to Triple-A Fresno on Friday.
Chapman has made not permitted a run over five Grapefruit League appearances, but he's allowed five hits and two walks with just one strikeout over four innings this spring.
Astros optioned LHP Kevin Chapman to Triple-A Oklahoma City.
Chapman was only up with the big club for one day, allowing two runs over two relief innings. He's dominated at Triple-A this year (0.94 ERA and 37/21 K/BB ratio in 28 2/3 innings) but has struggled in his time in the majors.