Idiom "to go in the bat of an eyelid"

Hi, everybody

I came across a sentence. “As always we´re ready to go in the bat of an eyelid!”

Could you explain me, please what does the phrase mean [u]to go in the bat of an eyelid[/u

I should be grateful if you help me.

At a moment’s notice.

Ever-prepared.

In a flash.

Thank you.

In the US, we more commonly say, “In the bat of an eye”.