Oakland, down 0-2 to Detroit in the best-of-five series, also announced that righty rookie A.J. Griffin will start a potential Game 4 on Wednesday at Oakland Coliseum.
Anderson, 24, has been sidelined by a right oblique strain since Sept. 19, but for days he's deemed himself healthy enough to aid in his club's first postseason run since 2006.
The southpaw logged a 4-2 record and 2.57 ERA -- allowing just 10 earned runs with 25 strikeouts in 35 innings -- in six starts during the regular season, most of which he spent rehabbing from Tommy John surgery.
The 24-year-old Griffin, who began the season at Double-A Midland, posted a 7-1 ledger and 3.06 ERA in 15 starts after being called up from Triple-A on June 24.
Fellow rookies Jarrod Parker and Tommy Milone combined to allow just three runs in 12 1/3 innings in the first two playoff games in Detroit.