Persists rhymes with:
assists, consists, cysts, insists, assists, consists, cysts, enlists, exists, fists, insists, list's, lists, mists, preexists, quist's, resists, schists, twists, wrists
Persists sounds like:
parachutes, parakeets, parasites, parasitic, perquisites, persecutes, persuades, practice, practices, precedes, preceeds, preexists, prejudge, prejudice, prejudices, prerequisites, presides, presstek, presswoods, prestage, prestech, prestidge, prestige, prestigious, prestowitz, prestwich, preyistas, priest's, priestess, priests, proceeds, project's, projects, projects', prosecutes, prostatic, prostheses, prosthesis, prosthetic, prosthetics, prostitutes, puristic, purists, pursuits