Here's what rhymes with zhen.
then n en hen sen fn fen when men ten den pen ben ken yen pn wen wenn chen denn jen ren wren again againe glen amen cayenne lawmen oilmen penmen pitchmen weathermen conmen handymen anchormen businessmen middlemen councilmen comedienne signalmen minutemen patrolmen tragedienne equestrienne Words that almost rhyme with zhen
them m em ng emf hem eng femme heme feng sheng stem gem mem rem hmm pm eadem morpheme condemn ppm rpm diadem blaspheme cairn demesne fluorescein moderne relearn ramequin