Stetter, 31, has spent the first five seasons of his career with the Milwaukee Brewers, posting a 104 ERA+ and 1.71 K/BB in 86 innings of relief.
Green, 32, also played with the Milwaukee Brewers in 2011, though he only made 14 appearances in total (and he wasn't all that successful, surrendering eight runs in 11.2 innings). Anyway, he hasn't seen extended time in the majors since 2009. From 2007 to 2009, he posted a 97 ERA+ across 215 appearances.
"The Rangers have signed pitchers Sean Green and Mitch Stetter to Minor League contracts. They will get Spring Training invitations.
"The Texas #Rangers have signed ex-Met RHP Sean Green to a minor league contract with spring-training invite."