Soon after posting, Beckham deleted two of the three original images.
Moretz, 19, has also been spotted wearing a pair of Yeezy sneakers in the past.
Beckham’s post comes after Moretz became engaged in a heated war of words with the Kardashian-Wests over the Taylor Swift drama.
The 30 Rock star, who clashed with Kim Kardashian West over a nude selfie back in March, tweeted, 'Everyone in this industry needs to get their heads out of a hole and look around to realize what's ACTUALLY happening in the REAL world. Stop wasting your voice on something so petulant and unimportant.'
Khloé Kardashian responded with two photos—one of Moretz in a red bikini and the other showing a woman from behind with her bathing suit bottom pulled down—captioned, "Is this the a hole you're referring to @ChloeGMoretz ???"
Moretz was quick to set the record straight, tweeting: "Fact check: first photo is me filming my movie Neighbors 2, the second photo is some girl who was wrongfully photographed."