Antonio Valencia had given the visitors the lead in the first half, before Robin van Persie squared things up for Arsene Wenger’s men.
However Danny Welbeck scored the winning goal to gift The Red Devils three points, and the Scottish coach is happy to have recorded the victory.
“We created an amazing amount of chances and to only score two is a bit disappointing,” he told Sky Sports.
“We should have rammed home our advantage in the first half, and in the first 15 minutes of the second half they had three great chances and missed them all, so we rode our luck.
“When they put (Per) Mertesacker up and kept tossing the ball into the box, you never know what’s going to happen but we coped well with that, (Chris) Smalling was fantastic in that period and we managed to see it out,” he admitted.
With Manchester City beating Tottenham 3-2 in dramatic fashion earlier in the day United needed to win to keep pace with the Premier League leaders, and Sir Alex appreciates the importance of also gaining victory.
“Winning after City had won was the important thing but we’ve done it in the right way. We were really adventurous, positive and had a great belief in ourselves,” he continued.
United did suffer one setback however, as Phil Jones suffered injury, and Ferguson confirmed that the defender would be on the sidelines for the foreseeable future.
“It’s not good news for us. I think Jones will be out for a few weeks – it’s ankle ligaments,” he confirmed.
By Gareth McKnight