Mustafi currently plays his club football with Sampdoria, having joined the Serie A club from Everton in 2012.
A rapid ascent into Sampdoria's first team resulted in a late call to Joachim Low's World Cup squad as a result of Marco Reus' ankle injury.
Mustafi featured in two of Germany's three group games as well as the last-16 win over Algeria.
Philipp Lahm's international retirement could open up a spot for Mustafi in Germany's long-term plans and the 22-year-old is interested in a move back to his homeland, having left Hamburg's youth system in 2009 as a teenager.
"It would be nice to play in the Bundesliga, being a Germany international, and the offers are there," he told Sport Bild .
"But the outlook must be right. The next decision (in my career) is going to be an important one.
"Moving to a big club would be the next step, but I don't have to move. I'm just keen to see what they offer me."
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