The 27-year-old midfielder says that his national team need to show the same togetherness as Los Blancos did during their successful Champions League campaign last term
A 4-0 demolition of Portugal in Salvador saw Joachim Low’s side got off to the perfect start in their World Cup Group G campaign on Monday.
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"We must help each other on and off the pitch," Khedira told Bild.
"My biggest competitor [for a place in the Madrid ream], Illarramendi, came to me before the [Champions League final] and said: 'You earned it'.
"When you feel comfortable you go on to the pitch and can concentrate fully on your task."
The former Stuttgart man, who suffered an cruciate ligament injury in November and was at one point facing a race to make it back in time for the World Cup, also spoke of the need to get behind captain Phillip Lahm.
"We have a very good setup," he continued. "There must be a leader - that's Philipp - but he can't do it alone.
"That's why he needs a few players by his side who follow him and help the team to grow together."
Germany will continue their group campaign on Saturday when they meet Ghana in Fortaleza.