Coetzer and Chambers depart from Northamptonshire
The pair leave the County Ground having figured as no more than fringe players during the 2015 season.
Scotsman Coetzer arrived at Northamptonshire - initially on loan - from Durham in 2011.
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Hide AdHe went on to play 42 first-class matches scoring 1,777 runs at an average of 27.33.
He also played 31 one-day games and had 32 Twenty20 appearances.
Former Essex and Warwickshire paceman Chambers was given a two-year deal with the County at the start of last season.
However he made just 21 first-team appearances in all forms of the game during his spell at the club.
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Hide AdThe Steelbacks’ head coach David Ripley said: “These are always difficult decisions to make regarding players’ futures.
“Kyle has been a model professional during his time here, he deals with success and failure in equal measure, a very valuable thing in a cricket dressing-room.
“We wish him and his family well in the future.
“After a slow start in 2014, Maurice has put in a big effort this year but has been unable to get past our other seam bowlers and play regularly in the first-team.”