Ryan was designated for assignment by the Cubs on Thursday.
Ryan served as the 27th man in Tuesday's nightcap against the Brewers, but he'll lose his spot on the 40-man roster after he allowed two runs in one-third of an inning. The southpaw recorded a 6.75 ERA and 1.73 WHIP in 13.1 innings across 13 appearances in the majors this year. Right-hander Ryan Meisinger's contract was selected to take his place in the bullpen.