Sulser was claimed off waivers by the Diamondbacks on Tuesday.
Sulser finished the season at Triple-A for the Marlins, and the organization opted not to keep him on the 40-man roster through the offseason. The 32-year-old had a 5.29 ERA, 1.62 WHIP and 38:16 K:BB across 34 innings last year and should have the chance to earn a spot in Arizona's Opening Day bullpen during spring training.