The Match of the Day pundit told BBC Sport: "The top seven already are nailed on, I don't see any surprise breaking into there".
"Alexis Sanchez is out for a while", Wenger said during a press conference on Wednesday.
The best and worst of this Arsenal team was encapsulated in the first five minutes.
Wenger revealed after Friday's win that Giroud, who has scored 97 goals in 231 appearances since joining from Montpellier in 2012, could have left the Gunners this summer.
In stoppage time of the first half, Arsenal played their lovely game to make it 2-2 on the night. Ideally, Arsenal kick off the season with a bang, scoring two or three times. Yes, they've lost some players too, but they still have the prolific Sergio Aguero and have a squad capable of challenging in the Premier League and Champions League. Then Leicester went 3-2 up and then Arsenal's late two-goal show saw them take all three points.
Jamie Vardy clearly didn't read the script and duly headed home from a corner to put the Foxes back in the lead. Arsenal's defence couldn't cope.
Global Stocks Selloff Stops at Wall Street; Gold, Yen Tick Up
The Nasdaq and the S&P 500 are rebounding after ending Thursday's trading at their lowest closing levels in a month. U.S. stocks ended lower on Thursday, and Asian markets fell sharply, with Hong Kong's Hang Seng index dropping 2%.
UAE says 4 soldiers killed in Yemen helicopter crash
Initial reports issued by the Saudi Press Agency said the soldiers sustained "minor injuries" following an emergency landing. More than 8,300 people have been killed since the Saudi-led coalition intervened in the Yemen war in 2015.
Jurgen Klopp sends worrying message to Liverpool fans about Philippe Coutinho
Asked whether he was upset with Coutinho's conduct, the manager said: "First of all, if I would be upset with the player, I would tell him".
Vardy thought he was spoiling the Emirates Stadium party with his second goal in the 56th minute as groans were heard across North London. The England man capitalised again in the second half when completely unmarked from a corner.
Arsenal fans had little time to celebrate.
Surprisingly, the team performed well against Chelsea recently when it defeated the Blues 4-1 on penalties to win the Community Shield.
It's the same old problems, year in, year out for Arsenal.
Wenger, however, would not reveal whether there had been any concrete offers for Sanchez and said his close relationship with Paris Saint-Germain chairman Nasser Al-Khelaifi had no baring on the player's future. They must look ahead to the next game against Stoke City and prepare.
'The goals we conceded were hard to take. "Arsene Wenger will be hoping those reinforcements will be back soon".
Wenger will argue - and expect - the defending will improve when his first-choice centre-back options are fit and available. They're no strangers to aerial duels and the odd reckless challenge.