The move to Germany had been on the cards for a week prior to that, meaning the Clarets have had almost five weeks to find their replacement.
A number of names have been linked with the post as Alan Pace and the Burnley board look to identify a candidate that will be tasked with leading the club back to the top flight at the first attempt.
Here are the current favourites, according to Skybet:
(Odds correct at the time of writing)
1. Mike Jackson - 50/1
Took interim charge of the Clarets after Sean Dyche’s departure during the 2021/22 season. Now assisting acting head coach Craig Bellamy following Kompany's departure.Photo: Gareth Copley
2. Michael Carrick - 50/1
A long shot at 50/1 and perhaps unlikely to move on so soon after signing a new contract at Middlesbrough.Photo: Stephen Pond
3. Mark Robins - 50/1
Has constantly overperformed with Coventry but has yet to get his break with a bigger club higher up the foodchain.Photo: Naomi Baker
4. Kjetil Knutsen - 50/1
Regularly features in the betting for jobs at the top end of the Championship having performed impressively for Norwegian side Bodø/GlimtPhoto: Richard Heathcote