The indie-rock fourpiece, who knocked GaGa off the UK album number one spot with their new record Suck It And See, revealed that they found the artwork "impressive".
"She's like a motorbike on the front cover of the album, isn't she? Anyone who has that idea is alright with me," frontman Alex Turner said to BBC 6 Music.
"Imagine that meeting. Like, 'I've got an idea for the front cover. It's me, but I'm a motorbike'.
"And she is a motorbike, though - it's not like she's on a motorbike. She has no body, she actually is the motorbike. That's impressive."
Turner also praised bands who don't take themselves too seriously and like to include "a few quips" in their songs.
"I like it when a band's got a sense of humour, whether it's in the lyrics or in something else they do.
"When I first started writing songs, I thought of it less like songwriting and more as a few quips to make my friends laugh, and I guess that's always sort of stayed with me one way or another."
Arctic Monkeys recently announced plans to embark on a UK arena tour later this year.
Watch the music video for Arctic Monkeys' recent single 'Don't Sit Down 'Cause I've Moved Your Chair' below: