A report in a Sunday newspaper claimed that Cofie could be on his way to either of the Premier League big-guns in a £1million move.
Cotterill insists the club are eager to see the highly-rated teenage striker remain at Turf Moor for the foreseeable future, but says he is not fazed by the speculation.
Cotterill said: "To be honest, I'm actually quite chuffed about it.
"I never had anyone phoning about anybody when I first came here, and now we've got some really good young players that everybody wants.
"We're quite flattered by that at Burnley really."