By FOX Sports staff
The Portugal international was reportedly extremely close to joining the Red Devils in the final hours on deadline day but Real apparently decided to cancel the deal, after failing in their bid to sign Guilherme Siqueira.
Earlier in the week, Portuguese paper Record claimed Coentrao cried to current club and international colleague Cristiano Ronaldo, as well as United winger Nani, due to his disappointment.
However, it now appears he is not overly fussed at missing out on the chance to move to Old Trafford as he is already at "the best club in the world".
"There was the possibility of joining Manchester United, but I stayed at Real Madrid, and that's what matters," he said, according to O Jogo.
"It would have been bad if I had to stay despite having the chance to move to a better club, but that didn't happen as I already am at the best club in the world."
Although he believes he did enough with his performances last season to warrant a place in Real's starting XI, he is determined to do even better and win over new coach Carlo Ancelotti.
"I want to do better than I did last season, although I was at a very high level already," Coentrao added.
"I want to show everyone that I deserve to be at Real Madrid."
Coentrao was linked to United during his formative years as he came through the Rio Ave ranks before joining Benfica, but his big break came in 2011 when he signed for Real in a €30million deal.