The Gunners took the lead against the run of play, with the France global having a poor game and the knowledgeable commentators had suggested that he was going to be replaced by Iwobi, only for Emery to change his mind.
The 33-year-old, who offered advice to a fellow countryman as he accepted a first coaching post in England, said: "I think it's a club that can improve quite a few things. But also we have three goalkeepers and Petr Cech is in good form", he added.
A top four finish in the Premier League would insure that Arsenal once again compete in Europe's top club competition after a two year absence and Emery did not play down its importance.
The Gunners' next league game comes up on Saturday, 29 September, against Watford.More news: Rams open as 7-point favorites over Vikings in Week 4
The visitors managed to keep the Gunners to a scoreless first-half when they travelled to Emirates Stadium on Sunday having won just one game this season. He's started the season very well and we think he's giving us the performance we want. Take Tiger Woods. Five years it's been since he won a major tournament - the longer it goes the harder it becomes.
Cech came swiftly off his line to block from Walcott after more good approach play by Sigurdsson, and Arsenal made a change as Sokratis Papastathopoulos, who had suffered a knock, was replaced by Rob Holding. This club haven't won the league for more than ten years so you need to get back into knowing how to do it.
Arsenal tried to mount some late first-half pressure, Bellerin crossing but Everton clearing, and a miscued Aubameyang cross hit the bar.
Ramsey has been deployed in the No.10 role in recent weeks but has struggled to find his best form with the Welsh global putting in some very average performances against the likes of West Ham, Cardiff City and Newcastle United this month.