Three Lions captain Kane has failed to score in three group matches against Croatia, Scotland and the Czech Republic.
And, worst of all, he barely looked like it either.
Now he hopes to break his duck against England’s old nemesis at Wembley on Tuesday as the two teams face off for a place in the quarter-finals.
But Muller hopes the drought will continue to give his country an even better chance of qualifying for the final eight.
Muller said: “As a German player I wouldn’t really mind if this debate continued until Wednesday and if we didn’t concede a goal scored by Harry Kane.
“He’s someone who knows deep down that maybe he needs to change his own game a bit.
“I’m not really sure what is causing his problem, I can’t really say why he just hasn’t been able to score because there hasn’t been any change, isn’t it, in terms of his technique and in terms of his ability to score goals?
“So I don’t think he’s influenced negatively by that. “
Like Kane, Muller knows a thing or two about scoring goals.
He added: “In principle, very good forwards have to be patient.
“Deep in their hearts, of course, they’re impatient, but any good striker has to wait for their own chance to score.
“Sometimes the scorers are the ones with the least contact, but then they have the biggest photos the next day in the papers. “
Muller has scored 39 goals in 105 international appearances but, unbelievably, he has yet to score in a European Championship final despite this being his third appearance.
Still, his goals for Bayern Munich mean England fans will be wary of him this week, as will the fact that he scored twice against the Three Lions in their infamous 4-1 World Cup loss. 2010 in South Africa.
Muller said: “It’s a beautiful thing for the media and the public, you can still talk about the past and revel in the memories, but it really has nothing to do with Tuesday’s game.
“If the English really feel I’m a ‘threat’ I wish that were true, but it really depends on what I’m doing on the pitch and less on the common history England and Germany share. .
“It doesn’t get us anywhere if I tell my scorer I was good in 2010, it won’t help. “
Meanwhile, Germany are disappointed that UEFA asked them to host their last home training session to protect the Wembley turf.
Muller and Co were hoping to get a feel for the pitch and its surroundings during a session at the famous stadium, but they will now fly to London tomorrow after training at their base.
Germany are also upset that less than 2,000 tickets have been made available to Die Mannschaft supporters, given that around 40,000 are expected for the match.
These tickets went to Germans living in England.