Moses joined Wigan in a £2.5million deal from Crystal Palace two years ago.
Moses has just one more season left on his current contract with the Latics.
The 21-year-old’s agent Tony Finnigan said: “An offer was made some months back – turned down – and we were still in negotiations.
“In the last week we spoke again and the player has now decided, ‘I don’t want to extend my contract’.”
He added: “It doesn’t mean he doesn’t like his manager – he chose Wigan over other clubs.
“Martinez is a tactical genius and an excellent coach, and they are Victor’s words.
“He’s been playing regularly, he’s in form and enjoying his football.
“He has been offered the chance to extend his contract but has said, ‘No thank you’.”