Counsell is re-signing with the Brewers, while Green goes to the team's bullpen after spending the last two seasons with the Mets.
MLB.com's Adam McCalvy reports the deal for Green is a one-year, non-guaranteed deal for $875,000.
The 31-year old right-hander missed much of last season with a right intercostal muscle strain. He appeared in 11 games, giving up four earned runs in 9 1/3 innings.
In his career, he's appeared in 250 games, going 10-11 with a 4.36 ERA with the Mariners and Mets.
-- C. Trent Rosecrans