The striker has been linked with a move to Crystal Palace this week.
Crystal Palace are rumoured to be considering a short-team deal for the former Tottenham striker in the January transfer window, as they look to add a goal scorer to their squad.
The Eagles desperately need a striker, with all of their current centre forwards having failed to score from open play this season.
Adebayor could be the answer, but there are fears about his attitude after the fallout at Spurs has left his career in limbo.
Pardew though, says he is confident he can handle him as he managed to deal with Hatem Ben Arfa when he was Newcastle United manager.
“You want to bring in a quality player and so therefore you can’t dismiss anyone. It is a very, very small market for us so Adebayor is in that group,” he told the Mirror.
“He’s a dangerous world player. For whatever reason there has been a fall-out at Spurs but he remains a player that can have great impact and would improve us.”
“And I have had difficult players before, non more difficult than Hatem Ben Arfa at Newcastle. If I can deal with him, I can deal with Adebayor for sure...”
If Palace are to bring in Adebayor in January, it will surely be after they have managed to move some players on.
He was reportedly on huge wages at Tottenham, something that made it difficult for Spurs to cut their ties, and it is unlikely Alan Pardew’s side could afford to offer him a similar amount.
Selling players first could help them though, and the likes of Fraizer Campbell and Dwight Gayle are sure to be top of the list.