Mintz was drafted by the Los Angeles Dodgers in the 17th round of the 1990 amateur draft. He played his first professional season with the Dodgers' Class A (short season) Yakima Bears in 1990, then played two more seasons in their organization and was released before the 1993 season.

He was picked up by the Boston Red Sox, playing one season in their farm system, then signed with the San Francisco Giants on December 15, 1993, making his major league debut for the Giants on May 18, 1995. In 14 appearances with San Francisco that season, he was 1-2 with a 7.45 earned run average.

After four seasons in the Milwaukee Brewers, San Diego Padres and Pittsburgh Pirates organizations, he made three appearances with the Anaheim Angels during the 1999 season. He ended his career with Anaheim's Triple-A farm club, the Salt Lake Stingers, in 2001.

Retiring as an active player midway through the 2001 season, he spent the second half of the season as pitching coach for the Angels' short-season minor league teams. He then moved to the Twins' organization, and coached for the Gulf Coast League Twins from 2002 through 2005. He was then promoted to pitching coach for the Midwest League Beloit Snappers. After two seasons there, he went on to coach for the Double-A New Britain Rock Cats. In 2009, he replaced Eric Rasmussen as pitching coach of the Twins' Florida State League advanced A affiliate, the Fort Myers Miracle, a position he continued to hold as of the end of the 2011 season.

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