We understand Everton have made an enquiry for the striker, who has a clause in his contract at Wigan that allows him to leave for £6million.
Norwich and Swansea are also interested in Kone, who joined Wigan last summer from Spanish side Levante.
Kone, who scored 11 Premier League goals in his debut campaign in England, has already confirmed his desire to leave Wigan following their relegation from the top-flight.
"You always have ambitions as a footballer, and I don't intend to play in the English second division," declared Kone in The Sun last weekend.
"Wigan have gone down, which is a real shame. It's up to them to set out their stance about my situation. I aim to play for one of the best clubs in England, and I hope I will get the chance.
"I've had plenty of approaches, I can't reveal the names of the clubs. But Crystal Palace have gone up, and from the moment a club is in the Premier League that is good for me.
"I'm under contract with Wigan for two more years. But if there is an offer that is good for both me and Wigan I will seek to leave."