Houser signed a minor-league contract with the Rangers on Saturday, Jon Heyman of the New York Post reports.
The Cubs signed Houser to a minor-league contract Tuesday.
The Mets released Houser on Wednesday, Will Sammon of The Athletic reports.
The Mets designated Houser for assignment Friday.
Houser (1-5) took the loss Thursday against the Nationals, striking out two but giving up a solo home run in an inning of relief.
Houser gave up two hits and two walks over 2.1 scoreless relief innings Monday to record his first hold of the season in Monday's win over the Nationals. He failed to strike out a batter.
Houser will return to the bullpen as the Mets announced Sunday that David Peterson (hip) will start Wednesday against the Giants, Anthony DiComo of MLB.com reports.
Houser is scheduled to start Tuesday's game against the Guardians at Progressive Field.
Houser will no longer start Wednesday in Philadelphia after warming up in the bullpen during Tuesday's game versus the Phillies, Abbey Mastracco of the New York Daily News reports.
Houser will start on Wednesday in Philadelphia, Will Sammon of The Athletic reports.