The Reds have been watched by 178,000 fans in their two games so far.
Gerrard told liverpoolfc.com: "The support this time has gone to a new level. I've obviously experienced unbelievable support throughout the years but over the course of the three places we've been it's been mind-blowing.
"What's been enjoyable for me is to see the new players' reaction.
"When they sign for Liverpool they know they're signing for a big football club, but when you go to places like Indonesia, Australia and Thailand, you can see on their faces how huge it is.
"They're blown away by the size of this football club. It hits home then what they need to do to become regulars at this football club."