Gibbs maintains Fabianski has the support of the whole team.
The England international, just back from a foot injury, had an extra reason to be grateful for the Pole's late penalty stop, having tripped Ivan Stevanovic to give away the spot-kick.
"He is a great keeper or else he wouldn't be here at Arsenal," Gibbs said.
"I owe him a lot, although I can't really remember much about (giving away) the penalty.
"He put in a great performance. That is what he is in the team to do.
"Saving the penalty was just as important as scoring a goal for us."
Gibbs added: "I think he felt like he had a point to prove. He has shown great character and he doesn't hide away.
"We do feel for him (after the criticism he has had) because we know his quality and he has shown them against Partizan - that is why I think he expressed that after he had saved the penalty and all credit to him."