The former England u-21 international has left Molineux after failing to reach a deal on a new contract, with the backing of his former manager for his professionalism
Jones is now a free agent as his three years at Molineux came to an end, after playing just 15 times in all competitions as Wolves narrowly escaped relegation to the Championship.
He scored a memorable goal in the first game of the season against Stoke, where he flicked the ball up and volleyed it into the net, but he only scored one more time throughout the rest of the campaign.
And speaking after it was announced Jones was leaving, his former manager had plenty of kind words for the former England U-21 international.
"He turned his contract down and I have spoken to him and I don't know what he is doing but I have just wished him well and said 'thanks for all you have done',” McCarthy told reporters.
"It was really difficult because I couldn't have that conversation before Sunday's game - good, bad or indifferent because it just affects the whole atmosphere. But I have rung him up now.
"He has been fabulous, he has contributed as much as anybody else to the place over the last three seasons.
"We all remember his goal at the start of the season when he flicked it up and volleyed it in - we remember all his good stuff. He has been a pleasure to deal with as well.
"He's been out of the side, but he's trained equally as good every day, in everywhere, always on time, always pleasant, always supportive."
On the club’s official website, it says further announcements will be made soon on the future of other out of contract players which include Jody Craddock and Marcus Hahnemann.