She won eight singles and eleven doubles titles on the ITF Women's Circuit in her career.

Playing for Israel Fed Cup team, Savranska has a win–loss record of 0–1.

She made her WTA Tour doubles main-draw debut at the 2008 Internationaux de Strasbourg, partnering Mihaela Buzărnescu.

Savranska made her WTA Tour singles debut at the 2009 Barcelona Ladies Open, defeating Lucie Hradecká, Gréta Arn and Émilie Loit in the qualifying tournament for a place in the main draw.

Savranska received Ukrainian citizenship in July 2007.