I contacted few lawyers. Some say it's not true, we can't have a green card as pilot, some say yes it's possible. So I don't know if it's true or not.
after for those who say yes the fees change from 11000$us to 17000$us without guarantees of success. I find it's a lot of money and even more when you convert that in Canadian. And you have to add around 5000$us for the conversion of the license.