Permitting rhymes with:
admitting, committing, emitting, omitting, resubmitting, submitting, transmitting, unremitting, acquitting, admitting, befitting, bitting, committing, emitting, fitting, flitting, gritting, hitting, knitting, omitting, pitting, quitting, refitting, resubmitting, sitting, slitting, spitting, splitting, submitting, transmitting, unremitting, unwitting, whitting, witting
Permitting sounds like:
parenting, permeating, permutating, permutations, premonitions, prentnieks, printing, printing's, printings, promoting, promotions