Billy Bob Thornton narrates using lines from Peter and the Wolf (1946), which was narrated by Sterling Holloway. Thornton's character in the first season of 'Fargo' was often associated with wolves.
Yuri Gurka's (Goran Bogdan) anecdote about Vladimir Putin was censored in Russia, where the series is dubbed by Russian actors and broadcast on the state-owned Channel One. Gurka's line was changed from, "When Putin was a boy, he already knew he wanted to be FSB," to "A boy wanted to be a spy since he was a child." V.M. Varga's (David Thewlis) mention in the first episode (The Law of Vacant Places (2017)) of Putin and Russia as a totalitarian state was also censored.
At the end, the tea kettle whistles two musical notes. The music that begins immediately afterwards under the credits starts with the same two notes.
The bank manager mentions to Ray (pretending to be Emmit) (Ewan McGregor) that his new employee, Millie (Nikolina Viskovic), just moved down from Bemidji, Minnesota. Season one of "Fargo" is primarily set in Bemidji.
The bag in the safe deposit box contains the ashes of a dog named Luverne. Season two protagonists Ed (Jesse Plemons) and Peggy (Kirsten Dunst) live in Luverne, Minnesota.