Henry's contract was selected from Triple-A Reno on Wednesday.
Henry will make his major-league debut as the starter in Wednesday's game against the Guardians following a strong showing in Reno to begin the year. The southpaw has posted a 3.83 ERA and 1.34 WHIP in 108 innings over 20 starts at the Triple-A level this season and should have a chance to remain in the Diamondbacks' rotation if he performs well early in his big-league career.