The Molineux Head Coach reacted with surprise to reports that the former England under-21 coach was lined up for a possible role here.
"I'm not sure where that one has come from," Kenny said. "I have not approached him to come on the coaching staff. Would he come and coach in League One anyway?"
While acknowledging that his role as Head Coach didn't leave him with the final say on all appointments, Kenny emphasised that he made recommendations to Steve Morgan, Jez Moxey and Kevin Thelwell on such matters.
Having initially said at the time of his installation in June that he was prepared to work solo for a while, the head coach actually dipped into his past within a few days to engage Joe Gallen.
The two had also worked together at Millwall and Kenny added: "Joe is strong on the training field, working with players.
"He was my no 1 choice, although there was quite a bit of discussion as to what the club's structure would be and how far the cuts would go.
"I was quite happy to start on my own and sometimes you can have too many people, with not enough for them to do. You have to get your personnel right."