The German is leaving at the end of the season, with many fans of the belief that he should have been sacked already.
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."