The Albion head coach said it was 'wrong' to talk about the position why Coleman was still in the hot seat.
And, in any case, Pulis says he remains focused on the job in hand at The Hawthorns.
"I'm quite happy where I am," he said. "And I think it's wrong we're even talking about someone who's still in a job.
"Chris has done a fantastic job there and he'll be very disappointed at the moment, as the nation are.
"Time is a great healer, we'll see what Chris does in the next couple of months."
Pulis does not hold any long-term desire to manage Wales, and is believed to be keen to finish his career in the United States.
"Who knows what's going to happen in the future?" he added. "Let's just get through the Leicester game first."