The 41-year-old stepped down from his position at the Bluebirds this afternoon following nine months in South Wales.
"I want to thank Vincent for giving me the opportunity to manage Cardiff City FC," the former Molde boss said. "He has my full respect and I really wish him all the best in his pursuit of making this football club successful.
"However, our difference in philosophy on how to manage the club made me decide to step aside and allow the club to move forward in the direction Vincent wants.
"I leave the club with some very talented players and want to thank them for their efforts and hope to see them challenge for promotion this season. I also want to thank Mehmet Dalman for his continued and loyal support and feel I have gained a new friend."
Cardiff are on a four-game winless run in the Championship which has seen them drop down to 17th place in the league table.