Following Arsenal's Champions League exit in midweek against AC Milan, Wenger must now face up to another season without silverware.
Wenger has come under heavy fire from supporters this season for a perceived reluctance to spend heavily on world-class players, but Fabregas feels they should keep the faith during the tough times.
"Whatever he suffered, I suffered it as well," Fabregas told The Guardian. "We feel the same and we always try our best. The boss is very strong and he believes in the club so much I am sure he will find a means to bring Arsenal back to where it belongs. I have no doubt because he's a great man. He knows when he is wrong and when he is right. He will find a way - for sure."
Fabregas, who says he has watched 90% of Arsenal's games this season, retains huge affection for the club even though he is relishing his new life at hometown club Barcelona.
"I learned a lot. I still feel very proud and happy with what I achieved at Arsenal. Now, of course, it's a different story. I'm living another life and playing another kind of football. I'm very happy now."
On the adjustments he has made since returning to the Camp Nou, he said: "We train more here, definitely. It was different at Arsenal. Sometimes after games we'd stay inside the gym but here we're always outside, with the ball, practising, working tactically. Even if we play almost every three days, we hardly have a day off. We train a lot - nearly every day."
He added: "Barcelona have a very specific system and you have to stick to it. Everything is very studied. For my first games there was an adjustment because I was used to my role at Arsenal, where I could move wherever I felt I could make the best contribution.
"Here, it's completely different. Everyone has their own place and it's important you stick to your position. It took a while to remember stuff I'd learnt as a kid at Barcelona, but the memory is coming back and I'm improving game by game."
The greatest shock for Fabregas, he said, is the hunger for more trophies at Barcelona despite the club's incredible success, and it appears that is drawn directly from manager Pep Guardiola.
"He talks a lot. He's very demanding. He doesn't relax one bit. He pushes to the limit and if someone doesn't press 100% then Pep will tell him. He's always putting pressure on us to keep winning. No one can afford to relax. And, again, I am so surprised because normally when you win so much you take it a bit easier, but Pep wants to take the best out of us."