Despite the uproar, Benitez has used his first public address as Everton boss to outline that he is not afraid of any backlash.
"It was easy for me as I wanted to come back with a competitive team. For sure no [I wasn't put off by the banners]. I was convinced this was a great opportunity," said Benitez.
"It's not something I'm scared of. It's the opposite.
"About the banners - we can talk about one, two people. You never know."
During his time at Anfield, Benitez once described Everton as a 'small club' - a remark which generated considerable controversy in the blue half of Merseyside.
Asked about this, Benitez said: "It depends on the context. It was a long time ago. You are fighting for your club and that is what I will do now. I will fight for Everton.
"I will try to do my best every single game. I am really pleased this club is getting bigger every single day."
The Spaniard, who guided the Reds to Champions League glory in 2005, said: "I was convinced when I decided to say yes, or even decided to start talking. It's not something I'm scared of, it's the opposite. I want to win, I want to do well."
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