The German was previously absent after being granted extra leave due to his World Cup exploits with his national side - who became world champions in Brazil.
He returned for Arsenal during their 2-2 draw against Everton and Ozil admitted that his side endured a 'poor first half.'
After an 'amazing final spurt,' however, the Gunners came back from 2-0 down and the 25-year-old was relieved to get a point out of the game.
Team-mate Jack Wilshere, meanwhile, has hailed Arsenal's 'great character' and believes they can take great confidence from the draw at Goodison.
Arsene Wenger's side host Besiktas in the second leg of their Champions League play-off next Wednesday, after drawing the first leg 0-0 in Turkey.
“It is easy for me to say that we have great character but if we put in performances like that week in, week out, we can prove it to people,” Wilshere told Arsenal Player.
“We have got great character, great togetherness and some leaders out there that keep us going. We also have great players to go with that.
“We never give up and, at this level, that is massive. We have always shown over the years that Arsenal are going to battle like mad right until the end.
“There have been a few games where we have been behind right until the end but have kept going. This is a fantastic point and now we have a big game on Wednesday and this will give us great confidence going into that.”