Leno belatedly made his debut in last night's 4-2 win over Vorskla Poltava in the Europa League, but will nearly certainly return to the bench for Sunday's match against Everton.
Ozil came on in the second half in place of Pierre-Emerick Aubameyang and went on to score his second goal of the season.
But the visiting side from Ukraine pulled two late goals back to leave Emery's team without a single clean sheet this season.
"My idea for each match is to arrive in the last hours to decide and say to the players my decision", he said. It is a bit frustrating but I keep calm and work very hard to improve.
"He needs confidence and he needs to continue finding his best performance". Maybe I need a little bit of time. I think it is the best league. Some players are better when they are playing regularly.
Leno revealed Emery has not come to a specific arrangement with his goalkeepers over who will play in which matches, and added that he has a good working relationship with Cech.
Leno gave an interview in the wake of the Vorskla win in which he claimed he had expected to be starting every week in the Premier League, and while Emery is unable to make such a promise at this time, he did insist further opportunities will be forthcoming.
"When you look at it, there doesn't seem to be a lot on the pitch that's changed", Yankey told Yahoo's The Football Show.
Arsenal sit in seventh in the Premier League after three wins and two defeats, and face Everton at the weekend. I will work hard every day to play more games.
"We have fun together", he said.
"We are speaking before each match to take a mentality of "don't concede chances easily"... but the last 30 minutes, we needed to be better on this competitive aspect".
"We are not going to dwell on the past, we are always looking forward to the next game".