That is according to BBC Sport pundit Alan Shearer.
Sanchez and Ozil are both out of contract at the end of the season, and a new deal for the pair seems to be unlikely.
Wenger, meanwhile, who recently celebrated his 21st anniversary in charge of the north London outfit, signed a two-year deal over the summer.
And Shearer thinks the Gunners should have sold Sanchez and Ozil at the start of the summer window, if not six months before that.
“Though I don’t think for a minute Ozil’s miss had anything to do with his contract being up, it doesn’t help the overall attitude and feeling in the squad knowing that in a couple of months those two key players can start negotiating to play for another club with their contracts up in the summer,” Shearer told The Sun.
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“Two players worth a combined £100million in today’s market are heading out the door for free in two of the longest and potentially most ignominious goodbyes in the club’s history.
“That is unless one of the big clubs is so desperate for an injection of talent that they will pay good money for one of them in January.
“That in a nutshell is the problem at Arsenal.
“By giving Arsene [Wenger] a new contract in the summer it was made clear to the players and the fans that failure to win the title over the last 13 years doesn’t matter.
“Arsenal should have sold them at the start of the summer transfer window, or even six months before that and got in some young hungry players who do want to be there.”
Arsenal slipped to a surprise 2-1 defeat against Watford on Saturday.