Germany became the first country to reach the milestone of 100 World Cup matches and marked the occasion by thumping Cristiano Ronaldo-led Portugal.
Mueller bagged the Germans' seventh World Cup hat-trick in total -- more than any other nation -- with Argentina second on four.
"Thomas did really well up front and he constantly tore holes in the defence," enthused Loew after the Group G clash.
"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?'
A decisive first-half saw Germany race into a 3-0 lead in Salvador as Mueller converted a penalty, then fired home their third on the stroke of half-time after Mats Hummels scored with a header.
Mueller, who normally plays as a winger or attacking midfielder for Bayern Munich, wrapped up his hat-trick with a scrappy effort in the dying stages as Ronaldo endured an afternoon to forget.
"The whole team played incredibly compactly and hardly gave anyway any chances to counter-attack," added Loew.
"When we went 3-0 up, it was important to hold the ball and play more economically.
Ghana await the Germans next in Recife on June 21 and with high temperatures expected for the 1600 kick-off local time (1900 GMT), Loew says changes may come.
Hummels is an injury concern after being helped off with a thigh problem and Loew has said he will weigh up his options over the next few days.
"We will now look at the team set up," said Loew.
"Ghana has an incredible physique, they are very robust, with very fast players.
"The heat conditions will demand a lot of us.
"Mats Hummels had a knock to the thigh, but I assume that it wasn't too serious.
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