The Arsenal duo enjoyed trophy-laden success at Real Madrid and Barcelona prior to making the move to the Emirates.
Both have been instrumental for the Gunners but their futures are in doubt with their contracts set to expire next summer.
Arsenal are all-but out of the Premier League title race after losing to leaders Chelsea last weekend, which increased the gap between the London rivals to 12 points.
Stan Collymore – I don't know why Alexis Sanchez and Mesut Ozil signed for Arsenal
The Gunners have failed to win the title for 13 years now and have never won the Champions League.
"I always get stick when both of these fine players play well and the Gooners can say 'We told you they were world class'," Collymore told BoyleSports.
Arsenal have not won the Premier League under Arsene Wenger in 13 years
"Undoubtedly, in ability, they are. They have world class attributes. So why sign for Arsenal from Real Madrid and Barcelona?!
"Seriously. Gooners may find that offensive and a slight on their club, but trust me, it’s not meant to be. I’m asking a logical question. Why would you go to a club who have never won the Champions League and haven’t won the league in a decade?
"Is that complacency from two players who perhaps wanted the London life without the responsibility of winning trophies anymore?
Sanchez and Ozil could leave the Emirates next summer when their contracts expire
Arsenal's January-February form ranked over 10 years
Tue, February 7, 2017
How many points have Arsenal racked up in January and February over the last 10 years?
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Arsenal's January-February form ranked from best to worst since 2007
"Both are supremely talented but I’ll try to make the point to Arsenal fans so that they take off their rose-tinted glasses and see my point.
"If two world class players such as Ozil and Alexis went to say Schalke or Sevilla (although Sevilla have actually won trophies in Europe the last few seasons), we’d all look and say 'they aren’t going to win the league, might win a cup'.
"So those watching Arsenal fall when the going gets tough should reverse their argument and ask “If Barca/Madrid let you go to a club who haven’t won a big trophy for over a decade, maybe they don’t believe they are as good as the billing we are giving them!”