2006 New York Code - Heads Of Departments; Appoint; Remove.

 
    §  6.    Heads  of  departments; appoint; remove.   a. The mayor shall
  appoint the heads of administrations, departments, all commissioners and
  all other officers not  elected  by  the  people,  except  as  otherwise
  provided by law.
    b.    The mayor, whenever in his judgment the public interest shall so
  require, may remove from office any public  officer  holding  office  by
  appointment  from a mayor of the city, except officers for whose removal
  other provision is made by law.  No public officer shall hold his office
  for any specific term, except as otherwise provided by law.