Buxton was released by the Owls at the start of the month and the 31-year-old defender admits that it was disappointing to have to depart Hillsborough.
Buxton's departure ended a six year stay with the club and he feels that his fitness issues this campaign stopped him getting a contract extension.
“I hurt my knee at Bournemouth last season, then in pre-season and again last October,” he said. “It was frustrating and you know when your contract is up and you are one of the older players that you’ve got to get the games to get a chance of getting another deal.”
Buxton was only able to make 10 appearances for Wednesday this season, as injury problems plagued his campaign.
Most Wednesday fans were still disappointed that he had to leave the club, though, as the right-back has been so reliable for them previously.
Buxton has always impressed when in a Wednesday shirt and he will be fondly remembered by supporters of the Yorkshire side, even after he has left.
The 31-year-old's departure highlights the rising expectations at Wednesday, with Stuart Gray's side predicted to be amongst the favourites for promotion next season.