That is according to BBC Sport pundit Garth Crooks.
With the January transfer window coming up, the futures of Ozil and Sanchez are once again in the spotlight.
After several attempts to negotiate new contracts, the Arsenal duo have refused to sign deals committing their future to the Emirates.
Manager Arsene Wenger has remained confident Arsenal can keep hold of them but interest is growing in the pair.
Ozil is understood to be a transfer target for Manchester United while Sanchez is wanted by Manchester City.
And Crooks believes convincing Ozil to stay will have repercussions on the future of Sanchez.
Crooks told the BBC: “Arsenal have a squad capable of finishing in the top four but the real issue is will Ozil stay at Arsenal?
“Arsene Wenger insists he will, but he would say that wouldn’t he? If Ozil goes then where does that leave Alexis Sanchez?
“There is no doubt in my mind that one player gets his inspiration from the other and should Ozil leave then it would almost signal the departure of Sanchez too.
“The question both players must be asking themselves is, ‘what is the point of staying at Arsenal?’.
“It looks like Pep Guardiola and Manchester City could be dominating the Premier League for the next few years.”