Sources close to the situation told ESPNLosAngeles.com that Hansen already has been approached by several other major league clubs and is deciding whether to pursue outside opportunities or remain with the Dodgers.
The Dodgers have not named a replacement for Hansen. Former Los Angeles Angels hitting coach Mickey Hatcher, who was fired in May, worked last season as a special assistant to Dodgers general manager Ned Colletti and often traveled with the team to work with hitters and throw batting practice.
Pitching coach Rick Honeycutt, third-base coach Tim Wallach, first-base coach Davey Lopes, bench coach Trey Hillman and bullpen coach Ken Howell will return in 2013. Wallach interviewed for the vacant Boston Red Sox managerial job Friday.
Hansen played 11 seasons for the Dodgers in two different stints. He took over last summer for Jeff Pentland. The Dodgers offense was 13th in runs scored and in RBIs.
Information from ESPNLosAngeles' Mark Saxon and The Associated Press was used in this report.