Huston Street, also a rookie, pitched the ninth for his 10th save for the A's, who have won 32 of 39.
Johan Santana (10-6) gave up two runs and five hits and struck out seven in seven innings.
Dan Johnson doubled to start the seventh and scored on Hatteberg's single to give the A's the lead.
Justin Morneau of the Twins hit his 15th homer into the upper deck in right in the second to tie the game 1-1.
The Twins lost for the nine time in 11 games.
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