Dee ihe na-aga n'ihu maka paragraf a - Na-eme ISU Challenger Series (CS) mbụ ya, Kvitelashvili tinyere nke ise na Lombardia Trophy na Septemba 2014. N'ọnwa Nọvemba, ọ zọrọ asọmpi na 2014 Rostelecom Cup, dochie Kolyada merụrụ ahụ; ọ kwụsịrị nke iri na abụọ na ihe omume ahụ, ọrụ mbụ nke Grand Prix (GP) nke ọrụ ya. Mgbe o meriri n'ọkwa nke asatọ na 2015 Russian Championships
N'afọ 2015, e zigara ya na Winter Universiade nke abụọ ya wee mechaa nke asaa na asọmpi ahụ, emere na February 2015 na Granada, Spain.