Slaven Bilic's side have enjoyed a superb run of form away from home this season and are currently riding high in eighth place in the Premier League table.
Ogbonna is convinced that he and his teammates should not be scared of their upcoming opponents: "Any fear? No.
"We're not afraid, because this is our job," he told the club's website.
"This is our passion, so we have to prepare everything without being afraid."
The 27-year-old is delighted to have been given his chance after returning to full fitness and is looking forward to testing himself against United.
"I waited for my chance and the chance has come, and I have to take my position, take my opportunity and I have to take it for the team.
"We have to look forward to the next game, a big game at Old Trafford.
"We need all the support, not just of the team, but of our fans. We have another chance to do better."