Ben Arfa joined the Tigers on-loan from Newcastle United before being cut loose in midseason.
Questioned on City's woeful luck with injuries on new signings this season, Chester told the Hull Daily Mail: "I think maybe the most disappointing thing was Ben Arfa.
"He showed an awful lot of ability in training, but you just wanted to bang your head against a wall.
"The ability he showed in training is the ability that only certain players have. He could turn a game on its head and get you a goal from nothing. That signing, you could see why the gaffer brought him here.
"I'm not sure his attitude was to the level of everyone else, so that was frustrating because he would have been the player that if you were struggling to get the goals, he could have got them against Burnley.
"He could have used a bit of magic and scored us a goal but again, you just wanted to bang your head against a wall.
"It's the least you expect, for someone to run around, and the most frustrating thing for us was that you could see the ability that he had.
"For him to not really want to use it to his full potential... he's better than many of our players here so, it was more frustration."