The defender marked his 10-year anniversary at Molineux earlier this month, having joined the club as an 18-year-old from Premier Division of Ireland side Bohemians.
After early loan spells to aid his development, the Irish international went on to amass more than 300 appearances in gold and black, playing an important part in a number of successful Wolves sides and earning promotions from League One and the Championship.
Wolves chairman Jeff Shi said: “Matt has been a fantastic player for Wolves over the years, and as a member of the illustrious ‘300 club’ will forever have a place in its history.
“His departure was not something we had planned ahead of the summer, but when the offer came in, we discussed and analysed it deeply with the coaching team and the board. We also spoke to Matt who was eager to move onto a new chapter in his career.
“Ultimately, we believe that this transfer is in the best interests of the club, and it goes without saying that Matt leaves with our best wishes.
“We thank him for his undoubtable contribution during his time here and wish him the very best of luck for the future.”
