The spell was organised by his former United teammate Edwin van der Sar.
"Ajax loses their talents too quickly in my opinion, which is the world of football we live in. This is the club you want to visit to learn how things are working," said Vidic. "This is a great learning moment for me."
Asked if he could take up a job with Ajax, he wasn't sure.
"No, I have no idea what I want to do, I want to learn as much as possible," added the former United captain.