The 36-year-old has been on-loan at Turf Moor since January and is looking for Clarets boss, Owen Coyle, to give him a chance next season.
Sunderland striker looking for permanent switch
Cole, who has Newcastle and Manchester United amongst his former clubs, has done well whilst on loan - scoring 5 goals in 12 appearances. He scored none in red and white after moving to Sunderland in the summer of 2007.
"The reception the supporters gave me this week, both at the fans' awards night and the official player of the year night, was tremendous," he said.
"It has given me food for thought in terms of continuing my career here and hopefully I will sit down with the gaffer when the season is over and we will see what happens."
"The reception the supporters gave me this week, both at the fans' awards night and the official player of the year night, was tremendous," he said.
"It has given me food for thought in terms of continuing my career here and hopefully I will sit down with the gaffer when the season is over and we will see what happens."