Manager Eddie Howe says Bournemouth was the only club he would have left Burnley for after returning to Dean Court.
Disappointment
Burnley's joint chairmen John Banaszkiewicz and Mike Garlick have expressed their disappointment at Howe's departure, but praised the 34-year-old for his contribution.
The Clarets' chairmen released a statement citing the reasons for Howe's exit, and insisted the search for his replacement was already under way.
It read: "We are surprised and disappointed that Eddie is leaving a great club like Burnley so soon in the season.
"However, we understand that his decision reflects his personal circumstances rather than any matters at Burnley Football Club, be that supporters, the players or the board.
"We wish Eddie well in his future career and thank him for the hard work he has done at Burnley over the past 20 months. We remain 100 per cent committed and ambitious for the club.
"Eddie's sudden departure will not deter us from our plans and we are confident that the team will rally round while we seek his replacement - a search that has already begun."
