The Scream Queens actor took to Instagram on Friday, calling out Ryan Reynolds on his unopposed run for the title.
"Couple a comments.. First of all no one told me this contest was going on so I was unable to enter and I would of crushed him," Hudson, 39, captioned a photo of the Reynolds recent magazine cover. "Secondly he dated my wife for 6 months back in the day.. so there's that too.."
Hudson's wife, Erinn Bartlett, worked on the film Buying the Cow with Reynolds in 2002.
The Deadpool star was revealed as the cover on Tuesday's Tonight Show with Jimmy Fallon and has since been gushing about family life and fatherhood.