Noskova converted six of nine break points while winning in 67 minutes against the Australian Open semi-finalist.
Noskova next faces Poland's Magda Linette, who advanced when sixth-seeded Anastasia Pavlyuchenkova of Russia retired in the second set.
Top-seeded Elena Rybakina of Kazakhstan rallied for a 2-6, 6-4, 6-4 victory over Katie Volynets, while Ashlyn Krueger delivered a 1-6, 7-5, 6-4 victory over third seed Daria Kasatkina of Russia.
Czech Marketa Vondrousova knocked off fourth seed Yulia Putintseva of Kazakhstan 6-2, 6-3.
Eighth seed Leyla Fernandez of Canada posted a 6-0, 6-3 victory over Lulu Sun of New Zealand and Tunisia's Ons Jabeur was a 6-3, 6-3 winner over Wakana Sonobe of Japan.
Transylvania Open
Viktoriya Tomova of Bulgaria saved three of five break points while notching a 7-5, 7-5 victory over second-seeded Olga Danilovic of Serbia in the second round in Cluj-Napoca, Romania.
Tomova won 75 per cent of her first seven points (30 of 40) while outdueling Danilovic to reach the quarterfinals.
Fourth seed Anhelina Kalinini of Ukraine rallied for a 1-6, 6-4, 6-4 victory over Suzan Lamens of the Netherlands.
Fifth seed Katerina Siniakova of the Czech Republic outlasted Great Britain's Francesca Jones 6-4, 6-7, 6-4, while Germany's Ella Seidel rolled to a 6-4, 6-2 victory over eighth seed Jaqueline Cristian of Romania.
Aliaksandra Sasnovich of Belarus was a 6-3, 7-5 winner over Canada's Marina Stakusic.