Ozil made the move to north London for £42.4million on Monday to become one of the marquee signings of the summer transfer window.
Low, who is with his team as they prepare to play Austria in a World Cup qualifier in Munich on Friday, has followed the likes of Cesc Fabregas and Ozil's Real and Germany team-mate Sami Khedira in admitting his surprise at the move.
"Many Real players like Sami Khedira or Cristiano Ronaldo are sad about the transfer," Low said.
"For me, it's incomprehensible that Real would sell one of their top scorers."
Low does, however, feel the move could be good for the player and his national side and has backed Arsenal manager Arsene Wenger to get the best out of the 24-year-old.
"I think that Mesut is a sensitive player who needs a lot of trust from the club and the coach," added Low.
"What I've heard the last days before this transfer, is that this trust had disappeared in Madrid. Arsenal and Wenger put a lot of effort in to get him, which did him, of course, a lot of good.
"That's why I think personally for us, for the national team, it's a good transfer. Arsenal is a good club, with a top manager and also with two German team-mates, (Lukas) Podolski and (Per) Mertesacker.
"Arsenal also play great football, technically on a high level, and I think that plays into Mesut's game."