Mesut Ozil and his teammates were pictured celebrating their 2-1 win over Leicester in a tweet sent out by Alexis Sanchez after the game.
“As for Arsenal tweeting those pictures after beating Leicester, I haven’t got time for that,” Keown told the Daily Mail.
“I think I’d only take my photo with team-mates if there was a trophy involved.
“It was telling that there no Petr Cech in that photograph – he knows what it’s like to be a winner and I’m sure there are plenty of photos of Cech in the dressing room at Chelsea but he’ll have a trophy in his hands.”
Ozil was rested for the Gunners clash with Hull in the FA Cup at the Emirates Stadium.
The 27-year-old has created 105 chances for his side this season and has racked up 17 assists in the Premier League alone.
Ozil is expected to return to Arsenal’s starting line-up for the Gunners encounter with Barcelona in the UEFA Champions League this week.
The World Cup winner has six goals in all competitions and 17 assists in the Premier League – the highest in the league.