Mueller claimed the first hat-trick of these World Cup finals in Monday's 4-0 drubbing of Portugal in Germany's Group G opener in Salvador.
The Bayern Munich star, 24, is normally deployed as a winger or attacking midfielder and has only made rare appearances as striker for either club or country.
But the gangly Mueller repaid the faith of head coach Joachim Loew with an impressive display as a striker against Portugal, which led to Maradona -- who almost singlehandedly inspired Argentina to the 1986 World Cup trophy --dubbing him 'El Flaco'.
The goal-scoring exploits of stocky 1970s star Gerd Mueller are legendary amongst Germany fans, but his younger namesake currently has his football-mad country swooning.
Also Read
The 68-year-old Gerd -- also nicknamed 'Das Bomber' -- retired after scoring West Germany's winning goal in the 1974 World Cup final against the Netherlands.
He finished his career with an incredible 68 goals in 62 internationals and the younger Mueller is producing similar impressive statistics with 20 goals in 50 internationals.
With eight World Cup goals now to his credit, the younger Mueller out-shone Portugal's World Player of the Year Cristiano Ronaldo.
While the Portuguese captain is renowned for his personal grooming and showing off his finely-honed torso in his goal celebrations, Mueller has a touch of the boy-next-door.
"It's his unorthodox playing style that characterizes Thomas Mueller," ex-Germany captain Oliver Kahn told braodcasters ZDF.
"Sometimes he doesn't know himself exactly what he's going to do. There's a lot of intuition involved, he always knows where he has to run.
Mueller's self-confidence was clear as he picked up where he left off at the 2010 World Cup -- his break-through tournament -- when he finished joint top-scorer to claim both the Golden Boot and best young player awards in South Africa.
"He's a light-hearted, cool guy," enthused German FA president Wolfgang Niersbach.
"He says before the tournament that he would again like to be the World Cup's top-scorer -- then he goes and scores three goals.
"He's relaxed and determined at the same time."
But Loew said Mueller's unorthodox runs are an asset which leaves defences guessing the Bavarian's next move.
"He is a very unorthodox player and you can't really predict his lines of running, but he has one aim and that is 'how can I score a goal?'", said Loew.
"That makes him so dangerous, especially in the box.