The legendary Juventus stopper has had many admirers throughout his career but the Italy global revealed that it was Arsenal that he was very close to signing for.
"Some fans suffer as well very highly, but when you're involved every day and every game you lose believe me, that's a test".
"So overall, I think to keep him quiet will be very hard at the World Cup", Wenger concluded.
Arsenal boss Arsene Wenger reportedly passed up the chance to sign his former player and Fabregas was a instant hit with the Blues as they lifted the Premier League title in his first season with them.
Arsenal host Stoke City on Sunday hoping to reduce the gap of eight points between themselves and fifth placed Chelsea, although with just eight matches remaining it is unlikely that the Gunners will move out of sixth.
"I'm a little bit fed up of all that modern thing about completely taking care of image".
Is Tuchel a target for the Gunners?
"Speak speculation, always, but I think Thomas Tuchel can be the favourite, ex-coach from Borussia Dortmund, but I know he's the same in touch with Arsenal.", he said.
After seemingly being snubbed by Massimiliano Allegri who has committed himself to Juventus beyond this season, the Blues are now being mentioned as a potential suitor for Thomas Tuchel.
The Sueddeutsche Zeitung say senior Bayern figures Uli Hoeness, Karl-Heinz Rummenigge and sports director Hasan Salihamidzic held a telephone conference with Tuchel on Friday, but failed to persuade him.
Club director Marina Granovskaia is believed to have already spoken to the German about the possibility of moving to the Premier League and will attempted to persuade him by offering a mammoth contract.
And he is likely to be joined in the squad by fellow midfielder Aaron Ramsey who has trained well since undergoing surgery on a minor groin problem.