The 20-year-old Scotland U21 international was signed by the Latics from Aberdeen for a fee thought to be in the region of £500,000 in 2012 and made nine appearances during his first season in England.
He was thought of highly by previous Wigan manager Roberto Martinez but has grown disillusioned with a lack of playing opportunities under his replacement Owen Coyle.
"The manager's just not given me any chance at all," Fyvie told the Scottish Herald this week.
"Of course it's demoralising. You go down there and a manager (Martinez) buys you and tries to mould you into the player that he wants you to be and then of course he went to Everton."