The aircraft, a Boeing 737, declared a mid-air emergency as it flew over Scotland midway through it's journey to take the squad back to Germany from their World Cup qualifying victory over Iceland.
Die Mannschaft have confirmed everybody on board the flight is OK, and it is unclear if the aircraft is damaged.
According to reports, the plane - which took off from Reykjavik at 1.05am local time [2.05am BST] - got into difficulty at 29,000ft as it flew over Arbroath on the east coast of Scotland.
Flight plans showed the Klasjet flight KLJ2703 making an abrupt westerly turn and rapidly descending.
It it then took 20 minutes for the passenger jet to land in the Scottish capital, with the plane sending out an emergency signal until it was on the ground, around 4am UK time.
It is unclear what was the cause of the sudden emergency and whether the aircraft had sustained any damage.
The Germany team was heading back to Frankfurt from Reykjavik after a 4-0 win over Iceland on Wednesday evening.
Premier League stars Timo Werner, Kai Havertz and Antonio Rudiger of Chelsea and Manchester City's Ilkay Gundogan played in the match, with Arsenal goalkeeper Bernd Leno on the bench, and were likely all on the flight.
Die Mannschaft issued a statement on social media on Thursday morning confirming the scenes, and declared everybody on board is 'fine'.
The statement also confirmed individual journeys will now be made by the players from Edinburgh back to their clubs.
Tweets from the Germany national team read: "#infotweet. Safety first. Safe stopover as a precaution in Edinburgh. From there, individual onward and return journeys are planned.
"We are fine. Safety checks on the aircraft are continuing."
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