That isn't a result of lack of speculation. Arsenal were linked with Clint Dempsey, Yann M'Villa, Etienne Capoue and Nuri Sahin, among others, all summer.
Why didn't any of them work out in Arsene Wenger's favor?
Let's take a look at the three biggest names Arsenal were linked with coming into the transfer deadline day and the reasons they didn't work out.
Newcastle midfielder Cheick Tiote became heavily linked with an Arsenal move after Alex Song departed the club for the greener pastures of Barcelona.
Tiote would have been a good replacement for Song. Tiote has put forth consistent performances for the Magpies ever since arriving at St. James Park in 2010.
Despite the speculation, Arsene Wenger came out and said the day before deadline day that "Tiote is a good player, but he's not on his way to Arsenal" (via ESPN).
Fine by him; Tiote is happy to stay at Newcastle.
Yann M'Vila was another midfielder that had been linked with Arsenal all summer, and a deal looked extremely likely.
In the midst of bids from Tottenham, Everton and Zenit St. Petersburg, it was Arsenal who made initial contact with Rennes over the potential sale of the 21-year-old.
However, according to Metro's Jamie Sanderson, Arsenal simply didn't follow up on their initial contact and didn't make an offer.
The blow was softened for Arsenal fans by the return and resurgence of Abou Diaby, who has been filling the holding midfielder position admirably.
All the pieces were in place for this move.
Arsene Wenger himself said that he wanted one more defensive signing before the window closed (via Yahoo! Sports).
Mapou Yanga-Mbiwa is young, versatile and a great leader, having captained Montpellier to the Ligue 1 title last season.
I rejected an important offer from Arsenal because my desire is to play in Milan. Wenger was keen on the subject but I'd rather play in Italy and I hope the clubs can find a solution in January. I am sad because I want to play in Milan and Montpellier know this.
The young defender would have been a great signing for Arsene Wenger due to his versatility across the back line.
But I can't think of anyone that would turn down real Italian food.