The Red Devils manager is looking to strengthen his squad and took advantage of a free weekend with no fixture to play, travelling to Germany to watch the young centre back in action against Hertha Berlin on Friday night.
With experienced duo Nemanja Vidic and Rio Ferdinand poised to leave Old Trafford at the end of the season, Moyes will need to bring in centre halves this summer, and promising 20-year-old Ginter appears to be on that list, though Borussia Dortmund and Arsenal have also recently been linked with a move for him.
Ginter was born in Freiburg so plays for his hometown club, where he made his debut as an 18-year-old.
In that game, Ginter hit an 88th minute winner to become Freiburg's youngest ever goalscorer in the Bundesliga.
Ginter has represented Germany at Under-18, Under-19 and Under-21 level, and it expected to break into the first team soon.
He also won the Gold Fritz Walter Medal whilst playing for the Under-18's and Under-19's, which is an award given to the best young German player in each age bracket.
The 20-year-old can also play in midfield, but since breaking into the Freiburg first-team, he has earned a reputation for being a strong and quick defender, who is also good in possession.
With great attributes and displays now and outstanding potential, it's easy to see why Moyes is interested in bringing Ginter to Old Trafford – but will the youngster be able to replace the likes of Ferdinand and Vidic, who made themselves into heroes under Sir Alex Ferguson?
image: © Markus Unger