The Pirates selected Godoy's contract from Triple-A Indianapolis on Monday.
Godoy will likely step in as the Pirates' No. 2 catcher behind Jason Delay while Tyler Heineman (concussion) resides on the 7-day injured list. The 27-year-old is hitless in 10 big-league at-bats this season but has impressed with a .947 OPS in Indianapolis, albeit in just 42 plate appearances. Godoy will start at catcher and bat ninth in Monday's series opener with the Reds while Delay rests.