Crichton's contract was selected by the Diamondbacks on Friday.
Crichton was cast off the 40-man roster in late June, but he'll now rejoin Arizona's bullpen as the team deals with a COVID-19 outbreak. The right-hander posted a 6.75 ERA in 5.1 innings across five relief appearances in the minors, and he could contend for a high-leverage role after Joakim Soria was traded to the Blue Jays on Friday.