This is wrong. 
Chlorine evaporates when you boil water. 
It even evaporates when you just let water sit, but takes longer. 

Satosora

Boiling water can only remove solids and bacteria, meaning it will not remove harmful substances such as chlorine and lead from tap water.

https://mytapscore.com/blogs/tips-for-taps/should-i-boil-my-tap-water

science

Tap water is safer for drinking than bottled water, says new research

IamSINGLE

I see. 
Now you see and read it. 
> Boiling water can only remove solids and bacteria, meaning it will not remove harmful substances such as chlorine and lead from tap water.
https://mytapscore.com/blogs/tips-for-taps/should-i-boil-my-tap-water