The Spanish champions host the Premier League leaders in the Champions League Round of 16 first leg this week and Argentine striker Higuain is in a positive frame of mind heading into the star-studded match-up.
"They (United) are quite a compact team. They always make it to the knockout rounds in European competition and we're going to have to be on our toes,” he told the Bwin website.
"But we can do a lot of damage with individual quality and with counter-attacks, although we can't forget we need to have a solid defence, a winning mentality and team-spirit."
He added: "Our goal must be to win and if we don't concede then so much the better. We know that an away goal can really influence things.
"We also want our fans to get behind us. The team always tries to do its best, sometimes it goes well and sometimes it doesn't.
"There's no doubt we are going to go out and give it everything."