Published Monday, 16 January 2012
Coyle is returning to manage Glentoran on a short term basis.
He was brought in as Director of Football after Young was appointed in February 2010 and now takes over as caretaker boss for the next few games at least.
Hamilton, who now manages Glenavon, says Coyle should walk away after the next few games.
"When I heard Scott had resigned I was surprised that Roy hadn't gone with him," Hamilton admitted.
"I know he's the most successful manager in Irish League history and I know some people may not agree with me but I have always been of the opinion that when someone comes in to work alongside you, they leave when you leave.
"Maybe Roy is doing Glentoran a favour by managing a few games because there is no one else but I'll be surprised if he doesn't go after the next few games."
Hamilton also says the players need to take some of the responsibility for Young's decision to quit.
"I think they have to take a lot of responsibility. There is enough talent in that changing room to be getting better results. But if a player doesn't have the extra mental strength you can't teach him that, I know that as a manager now. If he doesn't have a wee bit extra then he never will."
First team coach Tim McCann is urging the fans to remember the good times under Young.
"No-one will ever know the work that Scott did for the club, it was a 24 hour job and he put his heart and soul into it.
"I hope people remember the good times, Scott helped the club win two trophies, beat Linfield three times this season and get a win in Europe for the first time in seven years."
Young wanted to leave after Saturday's Irish Cup fifth round defeat to Newington at the Oval, but was urged to sleep on it.
He handed in his resignation on Sunday morning.
Aside from Coyle, the usual names are being linked with the vacant job.
Former Cliftonville boss Eddie Patterson, ex Distillery manager Paul Kirk, ex Ballymena manager Roy Walker and previous Glenavon gaffer Marty Quinn are all possibilities to take over at the Oval.