The Braves also will be without third base coach Fredi Gonzalez, who Tuesday was named manager of the Florida Marlins.
Corrales' contract was not renewed by mutual agreement of Corrales, 65, and the Braves, according to an announcement by the team. He was the Braves' bench coach for eight years following a nine-year career as a manager with Texas, Philadelphia and Cleveland.
Also, bullpen coach Bobby Dews will return in a different role next season. He will be with the team in spring training and at most home games but will work in the minor leagues when the Braves are on the road.
``I would like to express my gratitude to Pat Corrales and Bobby Dews,'' Cox said. ``They were by my side for a long time and we spent a lot of great seasons together. They have really been an important part of the unsurpassed success we've had here. They are both great coaches and good friends.''
The Braves filled the three coaching spots by promoting from within the organization. New to the staff will be bench coach Chino Cadahia, third base coach Brian Snitker and bullpen coach Eddie Perez, the former Braves catcher.
Cox will have first base coach Glenn Hubbard, pitching coach Roger McDowell and hitting coach Terry Pendleton back next season.
Hubbard has been on Cox's staff for eight years. Pendleton and McDowell just finished their fifth and first seasons, respectively, on Cox's staff. Cadahia, 47, has been the Braves' minor league field coordinator since 1997.
Snitker, who turns 51 this month, was the manager at Triple-A Richmond this season after four years managing Double-A teams in Mississippi and Greenville. Snitker was the Braves' bullpen coach in 1985 and from 1988-90.
Perez, 38, was an 11-year major league catcher, including nine seasons (1995-2001, 2004-05) with the Braves. He worked the 2006 campaign as a player/coach at Double-A Mississippi.
``Chino, Brian and Eddie are all very deserving of their promotions,'' Cox said. ``They are all very intelligent and are good communicators and hard workers. I think it really speaks volumes of our organization when we have talented individuals that we can promote from within.''