Former England international Fowler claims he has chatted with his fellow Liverpudlian, who has confirmed this week he will not be signing a new deal at Manchester United, and hinted Rooney would consider a move to Western Australia.
He said on the Glory's official website: "Everyone knows I went home (and) it's probably only just come out lately about Wayne Rooney, but being in the football know, I found out a couple of weeks ago (that he wanted to leave Manchester United).
"I just had to come home and see if he'd be interested in coming to Perth.
"The signs were good. I was really pleased with the chat we had and we'll see where it takes us.
"I sold it to him and told him what a lovely place it is.
"I told him what I think about the city and he knows obviously all about a lot of the players.
"He's umming and ahhing at the minute, but it's looking good.
"He's very, very interested so watch this space."
Perth's deputy chairman Lui Giuliani said the idea was not as laughable as some may think.
"Well if and it's a big 'If', Wayne Rooney was out of contract, and Robbie Fowler could pull some strings we would love to have him at Perth Glory even as a guest," he said.
"If I said four years ago that Robbie Fowler would be playing for Perth Glory, I'm sure many people would have had a laugh."