The Gunners lost 2-0 at home to the La Liga leaders on Tuesday night to leave Ozil's side on the brink of being knocked out of the Champions League at the last-16 stage by Barcelona for the third time in seven years.
Lionel Messi opened the scoring for the visitors with just 19 minutes to go and added a crushing blow to the North Londoners' hopes with seven minutes remaining when he converted from the spot after Mathieu Flamini had given away a penalty.
Arsenal had chances through Alex Oxlade-Chamberlain and Olivier Giroud to break the deadlock before Barca's late show, but the visitors' quality meant that the game passed by several members of Arsene Wenger's side.
Ozil, who has occasionally been accused of putting in anonymous displays during his time at the Emirates, was noticeably quiet throughout, and AS refused to even give the former Real Madrid star a rating on their scale of one to three, instead not giving the 27-year-old any kind of score whatsoever.
The only other Arsenal player to receive this non-rating was late substitute Flamini, who came off the bench with nine minutes remaining and almost instantly gave away the penalty from which Messi scored his second.
Only Petr Cech, Per Mertesacker, Laurent Koscielny and former Barca man Hector Bellerin were given complimentary scores by the paper, with the goalkeeper and defenders the only Gunners to be awarded two stars out of three.