Chiles, a fervent Baggies fan, was hosting the event on Sunday evening when he made a foul-mouthed aside about the forward.
Clarke was clearly unimpressed by Chiles' conduct.
"I thought it was out of order," he said. "It was just a ridiculous comment to make. It was a stupid comment and it was out of place. It was a West Bromwich Albion awards night and there was no place for that kind of comment.
"I protect my players fiercely and I didn't like it.
"It was a throw away line from someone who should know better."