DETROIT — Dominic Leone never got his opportunity with the Rangers, but the Mets were willing to give him a major-league shot.

The veteran right-hander signed a one-year deal with the Mets on Thursday, after opting out from his contract with the Rangers earlier this week.

Leone, 31, appeared in 55 games for the Giants last season and pitched to a 4.01 ERA.

Leone was available to pitch in the Mets’ series finale against the Tigers.

Leone, a Norwich, Conn. native, had appeared in eight games this season at Triple-A for the Rangers and pitched to a 1.59 ERA.

Leone’s addition comes as the Mets are searching for additional bullpen arms that can augment their nucleus of David Robertson, Adam Ottavino, Drew Smith and Brooks Raley.

The left-hander Raley is on the injured list with elbow inflammation.

John Curtiss and Zach Muckenhirn were optioned to Triple-A Syracuse to create roster space for Leone and Justin Verlander (who was activated from the injured list for his Mets debut).

Omar Narvaez was shifted to the 60-day IL to create a spot on the 40-man roster for Leone.