But the Yankees came right back in the bottom of the frame to tie it again with four runs of their own, highlighted by a two-run homer homer by Raul Ibanez -- his second clout of the game.
Cory Wade (1-1) tossed a scoreless top of the 14th to earn the win for the Yankees, who retained their one-game lead over the Baltimore Orioles atop the American League East.
Ibanez finished 3-for-4. Suzuki and Alex Rodriguez each had three hits and scored three runs for New York.
Tyler Ross (2-10) was tagged with the loss for Oakland, which holds the second AL wild card spot.
Stephen Drew had four hits, including a homer, for the A's.