His well-taken strike in the second half sunk the Ukrainians and ended the Red Devils' disappointing run following domestic defeats to Everton and Newcastle in the Premier League.
Owen Hargreaves watched his former club in action and tweeted his thoughts on the game for Heineken throughout the encounter, as part of their '#ShareTheSofa' night, and believes Tuesday's result was a much-needed victory for David Moyes' men.
Goal compiled a list of our favourite tweets from the Englishman during and after the game, including his thoughts on United, club legend David Beckham, the Lionel Messi-Cristiano Ronaldo debate and the best player he ever played against Zinedine Zidane.
HARGREAVES ON UNITED
"Playing in a big game like this - It's as much about personality as it is talent ..."
"GOAL! That's the beauty of set pieces right there."
"Shakhtar were great in the first half, but didn't take their chances. Much-needed win for United."
HARGREAVES ON BECKHAM
"Beckham was a legend! Plus - he didn't have much of an accent so he was easy to understand."
"Beckham was a great guy - the main man, but a true gent. "
HARGREAVES ON MESSI/RONALDO
"Between Messi and Ronaldo, it's like deciding whats your favourite cheese ... Hard to choose."
HARGREAVES ANSWERS SUPPORTERS' QUESTIONS
Hargreaves: "One of them was definitely Zidane."
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Hargreaves: "Players won't leave. But they'll have more trouble signing new ones ..."