Hutchins also struggled on his serve and found himself break point down serving to stay in the set at 2-5, but although he held his nerve, Matkowski was rock solid on his serve to give Poland the third set.
Kirilenko will meet third seed Agnieszka Radwanska of Poland in the quarter-finals, while top seed Samantha Stosur of Australia will play Yanina Wickmayer of Belgium.
England thrashed San Marino 8-0 as striker Jermain Defoe scored twice, while Ukraine moved up to third on goal difference above Poland with a 3-1 away victory in a match between the Euro 2012 host nations.