The complete Frank Sinatra in "Cannonball Run II" (1984) with Dean Martin and Sammy Davis Jr 

Frank Sinatra played himself in a brief cameo in the 1984 movie, "Cannonball Run II." Frank plays an exaggerated version of himself as an American royalty, chief or "boss."
Unable to secure the music rights of Sinatra's catalogue, the movie introduces Frank with the royalty free song, "Hail to the Chief." For this version, the song was replaced with an intended song.
The movie is owned by Warner Brothers and "New York New York" was written by Fred Ebb and John Kander. The use of the footage and song is used in fair use to showcase the talents of Mr. Frank Sinatra and does not harm the original product.