The process of creating the album "required tremendous patience and self-abnegation" with Stevens noting that he "amassed hours (months, years) of raw material" until he "was left with the most minute sample of something ... which might somehow, in some abstract way, resemble an ox, or a rooster, or a horse".

Like much of Stevens' music, Enjoy Your Rabbit had a religious component in its conception, with Stevens describing how he "put together argumentative essays, stanzas of free verse poetry, persuasive dissertations and assertions ... to prove the existence of God based on the 12-year lunar calendar.

Michael Crumsho of Dusted described it as "a great record", noting Stevens' ability to "produce melodies that are uplifting, catchy and memorable" but critically remarking that it "remains to be seen, however, if Sufjan will learn that the most elaborate path from Point A to B is not necessarily the best".

[6] Jason Nickey of Pitchfork referred to Enjoy Your Rabbit positively as "a fully realized piece of work" and noted he is "looking forward to seeing where [Stevens] goes from here".

[2] Writing for AllMusic, Nickey also commented on how the album "maps out a wide musical territory ... in the process, evoking a surprising array of moods".