Chapman made his major league debut on September 4, 2012, against the Washington Nationals.
Bridgeport Bluefish
Chapman signed with the Bridgeport Bluefish of the Atlantic League for the 2014 season. He pitched to a 2–3 record with a 3.86 ERA in 50 games for the Bluefish.
Milwaukee Brewers
On November 15, 2014, Chapman was signed to a minor league contract by the Milwaukee Brewers.[2]
He was invited to spring training by the Brewers for the 2016 season.
Tampa Bay Rays
On July 10, 2016, Chapman was traded to the Tampa Bay Rays in exchange for cash considerations. He made 22 appearances out of the bullpen, compiling a 4.43 ERA with 26 strikeouts and 9 saves across 20+1⁄3 innings pitched. Chapman elected free agency following the season on November 7.[3]
Texas Rangers
On January 5, 2017, Chapman signed a minor league contract with the Texas Rangers.[4] In 31 games split between the rookie–level Arizona League Rangers, Double–A Frisco RoughRiders, and Triple–A Round Rock Express, he struggled to a 6.63 ERA with 28 strikeouts across 36+2⁄3 innings pitched. Chapman was released by the Rangers organization on August 7.[5]