Palmatier rhymes with:
altier, carpentier, cartier, chartier, cloutier, cottier, courtier, dirtier, emptier, flightier, fortier, gautier, heartier, heftier, loftier, meatier, meteor, mightier, mintier, mortier, nastier, parmentier, peltier, portier, potier, prettier, rustier, saltier, sportier, tastier, thriftier, trottier, whittier
Palmatier sounds like:
palmateer, palminteri, palmiter, planetary, planter, plunder, polandri, polyandry