Cottier rhymes with:
trottier, altier, carpentier, cartier, chartier, cloutier, courtier, dirtier, emptier, flightier, fortier, gautier, heartier, heftier, loftier, meatier, meteor, mightier, mintier, mortier, nastier, palmatier, parmentier, peltier, portier, potier, prettier, rustier, saltier, sportier, tastier, thriftier, trottier, whittier
Cottier sounds like:
cacciatore, cadre, caster, castor, castoro, castro, cater, caterer, cather, catheter, cedar, ceder, cestaro, cetera, chatter, chaudhry, cheater, cheddar, chester, chichester, chitra, chitrao, chitter, chodorow, chowder, chowdhury, cider, citro, coaster, coauthor, coder, coderre, cooter, costar, costeira, coster, costra, coterie, cotter, couture, couturier, cowdery, cowdrey, cuadra, custer, cuter, cutrer, cutter, cytherea