On Friday in Baltimore, Moss threw out Nick Markakis at the plate in the 10th inning to deny the Orioles a victory.
Moss finished Tuesday's game at first base, where he's listed on the American League All-Star ballot. He's started 29 games at first, 20 in the outfield, and six as a DH.
"We've been getting that from Brandon," manager Bob Melvin said after the A's 2-1 loss in 14 innings on Tuesday night. "[Yoenis] Cespedes' throw, you don't expect something like that. There aren't that many guys able to throw it that far on the fly."
Cespedes had followed Moss' lead with an amazing throw from the left-field corner to cut down Howie Kendrick at home in the eighth inning on Tuesday.