NYC Teaching Fellows is not able to assign or place Fellows into teaching positions. Fellows are responsible for conducting their own independent job search. The teacher's union and the DOE agree that hiring must occur through a process called mutual consent - this means that hiring takes place when you decide you wish to work at a particular school and that school decides they wish to hire you.
Teachers are hired by individual schools, not by a central office, and each school has its own approach to hiring. NYCTF will provide you with job search resources and support, but ultimately the school where you accept a teaching position will be up to you.