The Villa boss confirmed that Traore has asked to leave, and suggested that he does not want any player who is not committed to the cause.
Traore was reported to have requested a transfer away from Villa Park after just a year with the club following their relegation and his lack of first-team action.
The 20-year-old joined the club in a £7 million deal from Barcelona's B side last summer, but failed to hold down a regular first-team spot despite his lightning pace and obvious raw talent.
Amidst whispers of ill-discipline and lack of focus, Adama made just 10 Premier League appearances in his debut season at the club, with all of those coming as a substitute; his only start came in a League Cup tie.
After a brief cameo from the bench in the 3-0 win over Rotherham United last weekend, he was then dropped from the squad again for the draw with Huddersfield, and has now expressed his desire to leave the club.
On the future of the Spanish winger, Di Matteo said, via the club's official website: "It’s very simple. He expressed wishes to move – to look elsewhere.
"I need players who are fully committed to us, that want to be here and want to fight for our cause."
Di Matteo also then shed more light on the club's reported search for a centre-forward after Tony Xia had suggested on Twitter that the hunt for a new number nine needed a solution in the next fortnight.
The Italian added: "We are still looking at players in attack. I think we are a little bit short up front if we want to change a game or play slightly different.
"There are not too many options. We are looking in that area to bring someone in."
Rudy Gestede struggled for goals last season but has already managed two strikes and an assist in three matches this term, whilst £12 million signing Ross McCormack opened his account for the club in midweek.
However, with the future of Jordan Ayew still uncertain, Di Matteo and Villa owner Tony Xia have been public in their desire to add another attacking option.