City's squad are in New York during the club's MLS franchise launch with the New York Yankees.
"The time in New York has been fantastic," said Richards.
"It's probably one of the best places on Earth and I'd like to come back again.
"We are trying to expand, we are trying to get fans worldwide, so coming to America is perfect for us.
"MLS is getting stronger every year and we believe coming here and trying to expand it is only right for the club."