The draw could see Patrice Evra return to Anfield for the first time since the Luis Suarez incident.
But Ayre told liverpoolfc.tv: "I think there were definitely a few raised eyebrows from everyone after that draw! Look, Liverpool vs. Man United is probably the best fixture in the world and the F.A. Cup is one of the best competitions in the world, so it's a great match up.
"With all that's gone on, people will talk about it and talk about it but I think the most important thing for us is to make sure that we make it a great day and a great game. We need to make sure that we all work together to make sure that everybody concentrates on the excitement of the football and the F.A. Cup and not on anything else. We are certainly committed to that."