The 31-year-old is a free agent at the moment, having left London outfit West Ham at the end of the 2014-15 season.
Cole has yet to find a new club, but he has stated on Twitter that he is close to making a decision.
Hi everyone, I'd just like to confirm that I am a step closer on deciding where to play next season, it takes a little time to decide...— Carlton Cole (@CarltonCole1) July 3, 2015
...what's best for myself and of course my family. I can't wait to be settled into my new team soon. Best wishes x Carlton— Carlton Cole (@CarltonCole1) July 3, 2015
Cole scored 68 goals in 293 appearances after first joining the London club from Chelsea in 2006.
The Englishman was largely a bit-part player for West Ham in the 2014-15 campaign, making just 23 appearances in the Premier League.
In those 23 matches, the former Chelsea striker scored two goals and created eight chances, while having a pass accuracy of 58% and a shot accuracy of 46%.
Cole told Sky Sports that he was close to leaving West Ham for Premier League rivals West Bromwich Albion on transfer deadline day in January.
It will be interesting to see which club Cole joins in the summer transfer window.