Melbourne has been uncompetitive for the majority of the 2013 season and have asked the AFL for help at the next draft.
Power CEO Keith Thomas told The Advertiser the club didn't approve of a compensation pick for the struggling Demons, or any other side.
He said it was up to the clubs' list management team to make the most out whatever draft picks it had earned.
"We wouldn't support the idea at all,'' Thomas said.
"I think the current drafting system is adequate and that as long as your list management strategies and your draft selections are sound and being well executed, you should be fine.
"We don't want any more compromised drafts."
Adelaide chairman Rob Chapman mirrored Thomas' views, claiming the Crows hoped the compensation pick had died for good.
The AFL has already moved away from its old priority pick system and Chapman told The Advertiser it should remain so.
"We came to the view that when the priority draft pick dropped out we thought that was a good thing for football," Chapman said.
"We don't believe that should be revisited and that we need to get to the stage where we have uncompromised drafts as soon as possible. We look forward to that day."
