The Czech Republic international looks set to be on his way out of Villa Park.
Aston Villa moved for strikers in the transfer market this summer. The club brought in Jordan Ayew and Rudy Gestede to supplement the departure of Christian Benteke - who joined Liverpool in a mega-money deal.
The two new signings were widely heralded as good buys but Villa also had one of their own strikers chomping at the bit to become a first-team star.
The Czech Republic striker had starred in the Europa League with Lazio and it was hoped he could be a regular goalscorer in English football.
Unfortunately his time in England has been overshadowed by injury problems. He broke his leg in January and has struggled for first-team football since.
This summer however it looked like he might be on the comeback trail He scored three times in pre-season, impressing fans with his turnaround in fortunes.
Despite that he has still been unused by Tim Sherwood and it looks like he is on his way out of the club. The Birmingham Mail is now reporting that the Villa striker is no longer likely to be even the first reserve on matchdays any more - with that honour going to recently recalled Charles N'Zogbia.
For Kozak, this would surely represent the final nail in the coffin that is his Aston Villa career.