The striker has had a frustrating season at the club, picked in only 10 Championship games, scoring once.
At 28-years-old Maynard will be looking for a chance to play regularly and get back in form.
If he wants to find a Championship club where he would stand a chance of fighting his way into the first team, Sheffield Wednesday could be a good fit.
The Owls have one of the best five defensive records in the league, conceding just 49 goals, but struggled to score them, with only the three relegated teams netting less frequently than their 43 goals in 46 games.
Strikers are expected to be on their agenda this summer and their new owner is likely to invest, but a punt on Maynard on a free transfer may be worthy of consideration.
Maynard has scored more than 40 Championship goals in his career, with 20 coming in one season with Bristol City.
This led to him being signed by West Ham, only for him to fail to get a run in the side and end up being loaned to Wigan before being sold to Cardiff.
On the negative side, his prolific season for Bristol City came back in 2009/10, and he has been unable to recapture that form since. Will a move to Wednesday give him the guaranteed football he needs to get his career going again, or will he find himself in a similar situation as at Cardiff?
His potential success would depend on whether he is still the player he was, and his next move may be his last chance to prove he is still a Championship level player.
He should be rightly motivated to show he is, and if he could get to double figures for the Owls next season then a choice to pick him up on a free transfer would become a worthwhile deal.