I'm a cohost and would never demand a client ie a host puts their listing under my profile. @Selena95 .
The only one who wins in that situation is the property management as your reviews and ratings are attached to their profile. And it makes it much harder for you as the host to walk away if the relationship isn't working as all your bookings are in their name. Please don't do it.
In your situation I would ask on the New York host group for recommendations of great local cohosts who will be happy to be added to your existing listing as a cohost.