The cover for the album was photographed by Tim Barber. In an interview for his official website, Healy claimed that "I wanted a portrait of what I looked like at that very second. I wanted to show that I was no longer the little boy that appeared on the inside sleeve of The Man Who. I did think about other images, but they just didn't feel right. This one looked particularly cool."
As a thank you for his work on the album, Healy honoured Paul McCartney by becoming a vegetarian. "My wife and I were sitting at the table, thinking of a way to thank Paul, and I suggested becoming a vegetarian. As our son is already a vegetarian, all it required was jumping onto the same boat. When I met Paul at one of his gigs in Berlin, I told him and he was visibly flabbergasted. Three days later the FedEx man delivered three Linda McCartney cookbooks."
In August 2010, Healy announced that the first single from the album would be "Buttercups". In an interview for Spin magazine, Healy revealed: "'Buttercups' was written about an experience in my art school days, when my then girlfriend turned her nose up at flowers I had picked for her. I couldn't afford fancy roses, so I thought that hand-picked flowers would be more romantic. She didn't think so. That relationship didn't last long."
Wreckorder received generally favourable reviews from music critics. At Metacritic, which assigns a normalized rating out of 100 to reviews from mainstream critics, the album received an average score of 66, based on 13 reviews.