The announcement comes less than two weeks after the team committed a pair of special teams mistakes in the second half of a loss to the Seattle Seahawks in the NFC Championship Game.
Slocum had been a member of Green Bay's staff for nine years, since Mike McCarthy was hired as head coach prior to the 2006 season.
"I would like to thank Shawn for all of his contributions over the past nine years,” McCarthy said in a news release. “He was a positive contributor to our success, including helping us win Super Bowl XLV. We wish Shawn, Michelle and their family the best moving forward.”
Former Illinois and Florida coach Ron Zook was hired as the Packers' assistant special teams coach before the 2014 season.
Before the loss in Seattle, Green Bay went 12-4 and finished in first place in the NFC North.