Arsenal clearly also have to do the business themselves, and beat Everton on the final day to have a chance of a top four finish.
The Londoners trail City by three points with the same number of games played.
A lot of the home fans who stayed away from this clash did so in protest against Wenger remaining in charge - those who opted to attend were left short-changed.
Arsenal count their attendance by tickets sold rather than how many actually come through the gates, meaning the official number for Tuesday's game was 59,510.
"He plays against Everton and Sunderland, no?"
The home side continued to push for the opener and Giroud was unfortunate to be denied by goalkeeper Jordan Pickford after a clever throughball from Aaron Ramsey, before Hector Bellerin curled a shot just over the crossbar.
Shkodran Mustafi saw a header hacked off the line as Arsenal reached the hour-mark without breaking through, with Giroud glancing a header wide as the game wore on.
The Chilean had been on the periphery but hit the crossbar with a cheeky lobbed effort, with Pickford again on hand to deny Xhaka and Iwobi in spectacular fashion.
At the conclusion of a season that only served to underline how far Arsenal have declined in recent years, Wenger knows missing out on the top four would be the last straw for a large section of his club's disenchanted support.
Koscielny moved to Arsenal from Ligue 1 side Lorient in 2010, and has since developed not only into a senior France worldwide, but also become a mainstay of the north London club's first team under Arsene Wenger.
When asked about the signing being completed though Wenger was quick to say: "No, we have nothing to say about transfers at the moment".
"But anyway, I answered for 20 years the question, "the top four is nothing special". 'I still have a long-term contract at Arsenal and I am focused on my objective of finishing as high as people... we will see at the end of the season what will happen but I am tied to this club for a long time'.
"Now, every day I do this and it is okay but sometimes with all the games we play every three days, it is hard and I need to have a rest to recover well for my Achilles".
"I have to build some teams with the minimum of conditions to fight for a result", Mourinho said.
Sanchez passed a fitness test hours before the game after struggling with a thigh injury.
Wenger had suggested earlier in the week that some teams are already "on holiday" as the season draws to a close.
Wenger lamented that the lower-table teams who are safe from relegation have often failed to challenge the top-six sides - comments that come after West Ham suffered a 4-0 loss against Liverpool on Sunday.
'I think that's an insult to football as I've been a player myself, ' he said.
"I'm going for a comfortable Arsenal win".
"Apart from the League Cup, where we play always the younger players to give them a chance to develop, we take all the other competition seriously". At least we have done our job well to the end.