Carlton sacked Brendan Bolton from the top job last month in what has been a disappointing season for the club.
However, interim coach David Teague has helped steer the club to a 2-2 record since taking over, with both losses coming by under a kick.
Despite their resurgence of form under Teague, it is highly likely that the Blues will look elsewhere in filling the role permanently, and Eade believes Hinkley could be the man for the job.
“What about a curveball here … what about Carlton with Ken Hinkley?” Eade said on RSN Radio.
“Would they knock on his door?
“I think Carlton are looking for an experienced coach, and I think they’re making some inquiries about different coaches that are under contract.”
Hinkley is contracted at the Power until the end of 2021.