Redmond, a catcher, signed on with the Marlins as a free agent in 1992.  He would earn playing time with the club onwards from 1998.

In four of his seven seasons with the Marlins, Redmond was the Marlins primary catcher.  In 1999 and 2002, he finished in the NL top five with a 42 per cent caught stealing against percentage. His career fielding percentage of .9958 ranks second in Major League history for catchers behind Chris Snyder.

In 37 games as a rookie in 1998, Redmond hit .331 in 37 games. He would follow that up in 1999 by batting .302 in 84 games.

Redmond hit over .300 in four different seasons for the Marlins, without ever collecting more than 300 at bats or playing in over 100 games. Never much of a power hitter, he collected 11 home runs in 1,338 at bats for the Fish.

Redmond hit .284 over 485 games with the Marlins.  He also played five seasons with the Minnesota Twins before finishing his playing career in 2010 with the Cleveland Indians.

He is currently the manager for the Lansing Lugnuts, a single-A ball team in the Midwest League, and an affiliate of the Toronto Blue Jays.