Wigan Athletic were beaten by Coventry City in the Championship.
The hosts came close to taking the lead on the verge of the break when Palmer shot wide of the Wigan goal.
As the game wore on, the Sky Blues were rewarded for pressing for the opener, as they were able to get the first goal of the game.
Thelo Aasgaard headed Max Power's delivery straight at Ben Wilson as Wigan pushed for a leveller, but Viktor Gyokeres pounced on the ball to seal the win.
Wigan is 23rd and two points off the safety zone.
The home side came into the match off the back of two wins that took them out of the Championship's bottom three.
Wigan came into the game with a poor run, having picked up just one point in their previous six games.
After a goalless first half, the Sky Blues appealed for a penalty in the second half, but their calls were waved away.
The hosts dominated, but Wigan did well to keep them out until Hamer finally broke the stalemate with an effort that picked up a deflection and Gyokeres' 95th minute goal sealed what turned out to be a comfortable success.
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