Maloney was Man of the Match as Wigan won the FA Cup under Roberto Martinez in May, but his late-season form was not enough to help the Latics stave off relegation.
With the departure of Martinez to Everton and the prospect of Championship football, Coyle is hoping that his admiration for Maloney as a player can lead to the Scotland international staying to help Wigan's promotion push.
"Shaun is my type of player and I've thought that since the first time I clapped eyes on him at Celtic," Coyle told the Daily Record.
"I love him to bits because he's a match winner and that's what makes him an attractive proposition to others at the same time."
Coyle also emphasised that his nine months out of the game was entirely his own decision.
Since being sacked by Bolton Wanderers, Coyle claims that he has turned down a host of jobs in order to wait for the perfect opportunity.
"There was never a second of the past nine months when I feared I might not get another job," Coyle said.
"The length of time I have had to wait was based on the fact that it was more important I took the right job and not the next job that came up.
"You aspire to the highest level and I believe Wigan Athletic is the right fit for me."