Coentrao came close to joining United in a loan deal on deadline day, but the deal fell through in the last few minutes of the window.
The deal fell through as Real Madrid failed to bring in a replacement for Coentrao in time.
United boss David Moyes is keen to bring in competition for Patrice Evra at the left-back, according to Metro.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.