Green’s Dictionary of Slang

rank v.3

[SE rank, to assign a rank, in this case high]

In phrases

rank one’s hand (v.)

(US black) to overestimate one’s abilities or position.

[US] ‘The Fall’ in D. Wepman et al. Life (1976) 84: But the trouble began when I ranked my hand / And stopped blowing and started to hit.