Menez was selected by the Cubs in the first round of the 2021 Rule 5 draft Wednesday, JJ Cooper of Baseball America reports.
Menez made eight appearances (one start) in the majors for the Giants last year and recorded a 3.86 ERA and 1.36 WHIP in 14 innings. However, he wasn't added to San Francisco's 40-man roster during the offseason and will likely compete for a spot in the Cubs' major-league bullpen this spring.