Late in the Cottagers' 3-1 Premier League defeat on Saturday, the German was involved in an incident with his young opponent that was not seen by the referee but the Football Association moved to punish him after reviewing video evidence.
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"I want to say I am sorry to Adnan Januzai. It was very unlike me and I can only say that frustration got the better of me," he wrote.
"I also want to apologise to my team-mates, fans and everyone at the club for the ban incurred following Saturday's match.
"I will accept the consequences of my actions and hope to put it behind me when I return.
"I want the fans to know that I will be working hard to stay fit and will be ready to continue fighting for the club as soon as I am able."