Asserting rhymes with:
reasserting, disconcerting, inserting, reasserting, alerting, averting, converting, disconcerting, diverting, exerting, flirting, herting, hurting, inserting, perverting, reasserting, reverting, shirting, skirting, spurting, squirting, subverting
Asserting sounds like:
accordance, according, accordions, accreditations, accrediting, ageratums, ascertaining, assertions, awkwardness