The 33-year old Irish striker has been out of contract since he was released by Rangers at the end of last season but may continue his career at Deepdale after scoring close to 50 goals in more than 130 appearances for the Lilywhites in between 2000 and 2004.
"He's got to a point of his career where he wants to do something about it," said the Preston boss regarding Healy's controversial move to Leeds in 2004.
"He knows he's done wrong by the football club, in the sense of the difficulties when he left and his reaction when he scored against the club.
"He wants to give something back to the football club, he feels he's got a lot to give, he feels he can score goals in League One and make a difference.
"He's been brave enough and big enough to come and say what he's said to me, so I think it would be wrong not to think about it.
"He's a very quality asset and he probably can make the difference that he's talking about. It's one that's in the melting pot and I'm having a good think about it."