As Ukraine attacked the England goal, Rooney was quiet in the first half of his first competitive match in more than a month until he sent a free header wide in the 28th from Young's cross.
"It was a while since he played a competitive match," Hodgson said of Rooney. "Every day helps him and helps us. The fact that he had 80 minutes today will give him confidence for the Italy game."
England: Joe Hart, Ashley Cole, Glen Johnson, Joleon Lescott, John Terry, Steven Gerrard, James Milner (Theo Walcott, 70), Scott Parker, Ashley Young, Wayne Rooney (Alex Oxlade-Chamberlain, 86), Danny Welbeck (Andy Carroll, 82).
Ukraine: Andriy Pyatov, Yevhen Khacheridi, Yaroslav Rakitskiy, Yevhen Selin, Denys Garmash (Serhiy Nazarenko, 78), Oleh Gusev, Yevhen Konoplyanka, Anatoliy Tymoshchuk, Marko Devic (Andriy Shevchenko, 70), Artem Milevskiy (Bohdan Butko, 77), Andriy Yarmolenko.
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