Quantrill was drafted in 1986 by the Los Angeles Dodgers in the 26th round, 660th overall, and again by the Boston Red Sox in the sixth round of the 1989 amateur draft, 161st overall, and made his Major League debut on July 20,1992.
Quantrill was drafted in 1986 by the Los Angeles Dodgers in the 26th round, 660th overall, but did not sign. After three years at the University of Wisconsin he was drafted again by the Boston Red Sox in the sixth round of the 1989 amateur draft, 161st overall, and made his Major League debut on July 20,1992.