Premier League clubs Swansea City and Norwich City have both been linked with a move for the ex-Levante man, with Coyle confirming the Latics have received a number of offers for the striker.
|1/12||Arouna Kone is 1/12 with Paddy Power to join Everton
"I'm led to believe through his representative that Everton is the club he wants to join," Coyle told BBC Radio 5 live.
"It's not rocket science to say that Arouna Kone will probably leave at some point this week. There have been a number of offers in for him.
"There is no problem, he goes with our blessing because I need players who need to be at Wigan. If his heart's elsewhere then he's no good to me."
Kone netted an impressive 11 goals in his debut season in English football and previously expressed his desire to return to the top-flight following Wigan’s relegation to the Championship.