Ozil joined the Gunners on transfer deadline day, claiming he felt Arsenal manager Arsene Wenger had more faith in him that Madrid boss Carlo Ancelotti.
His Germany team-mate Sami Khedira said he regretted his club's decision to sell the 24-year-old and Low has echoed his sentiments by questioning Madrid's decision.
"Many Real players like Sami Khedira or Cristiano Ronaldo are sad about the transfer," he said at a press conference.
"For me, it's incomprehensible that Real would sell one of their top scorers."
While disagreeing with the move, which he would not have sanctioned had he been coach of the Merengues, Low said he fully understood why Ozil accepted a move to the Premier League.
Low also believes a change of scenery would probably benefit the midfielder.
"Mesut is a sensitive player and he needs the faith from the club and the coach," said Low.
"It seems that was not longer 100% there at Real whereas Arsenal and their coach Arsene Wenger pulled out all the stops to get him.
"He has a top coach there and, with Lukas Podolski and Per Mertesacker, he has two German colleagues.
Source: PA
Source: PA