The Red Devils' club secretary has heralded the clash between the Premier League leaders and the reigning Spanish champions as the match “everybody wanted to see”
Alexander admits that there are other teams they would have liked to have faced in this stage, but despite that, the draw has provided a mouth-watering fixture.
"But out of several stand out ties I think this is the one."
Real Madrid have progressed in three out of four European Cup ties against Manchester United as both clubs aim to get a step closer to the Wembley final.
"Given the traditions of the two clubs in the competition, they're both incredibly successful," Alexander added. "And of course the past history.
"Of course, if history has anything in our favour, our one victory against Real Madrid in this competition was in the year when we won the final at Wembley, so let's hope that's a lucky omen for this year."
The first leg is to be played at the Bernabeu on February 13, whilst the second, which will see the return of Cristiano Ronaldo to Old Trafford, will be played on March 5.