Gamboa was moved to minor-league camp Sunday, Brittany Ghiroli of MLB.com reports.
Gamboa cleared waivers and elected free agency Friday.
Gamboa cleared waivers Thursday and will decide whether to elect free agency or accept an outright assignment, Evan Grant of the Dallas Morning News reports.
The Rangers designated Gamboa for assignment Thursday.
Gamboa was optioned to Triple-A Round Rock on Monday.
Gamboa gave up five hits and one walk while striking out six over five innings against the Mariners on Sunday. He was charged with two unearned runs.
Gamboa was traded to the Rangers for a player to be named later or cash considerations.
Gamboa was designated for assignment Tuesday, Marc Topkin of the Tampa Bay Times reports.
Gamboa's ERA stands at a stellar 1.59 despite having taken the loss to the White Sox on Wednesday, while the three innings he worked equaled his longest stint in his short major league career.
Gamboa fired two innings of two-hit, scoreless ball in Tuesday's 5-3 loss to the Yankees, walking two and recording a pair of strikeouts.