Quentin had been reassigned by the Twins to their minor league camp on Saturday but refused the assignment.
Twins general manager Terry Ryan told reporters that Quentin indicated he was not looking to sign with another team and instead has decided to return home to be with his family.
Quentin, 33, hit .250 with two home runs and seven RBIs in 15 spring training games. He had agreed to a minor league contract with the Twins on Feb. 2.
He was attempting a comeback this spring after announcing his retirement in May through the Seattle Mariners, citing chronic knee injuries. He played briefly for the Mariners' Triple-A club in Tacoma.
Quentin was released by the Atlanta Braves in April after the team acquired him in a trade with the San Diego Padres. The Padres were the last team for which he played for in the majors, with his final major league appearance coming in 2014. The two-time All-Star batted .252 with 154 home runs over nine seasons with the Padres, Chicago White Sox and Arizona Diamondbacks.
The Associated Press contributed to this report.