Mezue ahịrịokwu na-esonụ: N'afọ 1983, Cherneva meriri asọmpi egwuregwu amateur nke Europe n'egwuregwu ụmụ nwanyị na nke agwakọta agwakọta ma were ọla nchara n'otu ọzụzụ ahụ na 1983 Summer Universiade. Site n'otu afọ ahụ, ọ malitere igwu egwu na asọmpi tenis ọkachamara mba ụwa. N'afọ 1984, o meriri n'asọmpi ITF mbụ ya na San Antonio na Delray Beach, na asọmpi ITF nke afọ 1984.
Wimbledon Championships gara n'ihu na Savchenko ruo nkeji iri na ise, mgbe o meriri mkpụrụ nke atọ Kathy Horvath na Virginia Ruzici, yana Chris Evert na Catherine Tanvier. N'ime afọ atọ sochirinụ, Parkhomenko na Savchenko meriri asọmpi Virginia Slims asaa gụnyere anọ na 1987. Ha gbara ugboro atọ n'usoro na Virginia Slims Championship, na March 1986 gbagoro ebe ahụ na ọkara ikpe-azụ. N'afọ 1987, ha ruru ọkara-ikpeazụ na Wimbledon, mgbe ha meriri ndị kacha mma n'ụwa, ndị mmeri Grand Slam na nso nso a bụ Martina Navratilova na Pam Shriver.