Bayern, who are adrift in the Bundesliga to Bayer Leverkusen, take on Arsenal in the Champions League quarter finals.
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Asked about Tuchel's replacement, Eberl said: "I don't give a s**t about the search for a coach.
"Now it's all about the Arsenal game. We'll face a team, with all respect to Heidenheim, that is a class above them.
"We have to make a proper turnaround so that we don't get a slap to the face.
"I already said after the Dortmund loss that we would have a test of character in Heidenheim. We passed it in the first half and failed in the second half.
"Now we have the Champions League game against Arsenal. There's a lot coming up."