David Moyes' side defeated Norwich in the Capital One Cup with a clinical display, and Round believes this United team has what it takes to go on a trademark winning run.
"This club is used to winning. It has a winning mentality," he told reporters.
"There was no great celebration after Saturday and there was no great celebration tonight. We just move onto Fulham on Saturday.
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Round also revealed he was pleased some of the club's younger players could play their part in such a dominant display, with debutant Wilfried Zaha and Adnan Januzaj impressing.
"It's always pleasing to win 4-0 at Old Trafford and it was a good experience for some of our young players to win here and taste the atmosphere," he added.
"I was really pleased for Wilf Zaha to get a start and play so well. That will have done his confidence a world of good. Obviously there's Adnan too who's going from strength to strength.
"We see him [Januzaj] as a seven, 10 or 11. He could play in any of those roles, and if you ask the reserve coach who had him last season then he'd say his best position is No.9. I think he's capable in any of the front four positions.
"With a young player like Adnan we're trying to give him as much experience as we can and develop him in numerous different positions."
Norwich manager Chris Hughton admitted his side could have performed better, and was upset at the award of a first-half penalty by referee Kevin Friend that allowed Chicharito to break the deadlock.
"Could our performance have been better? Yes, there's no doubt about that. We could have been better on the ball," he said.
"We had a penalty given against us that was very soft and not a penalty. When you come to a stadium and a club like Manchester United you need to make sure you get every bit of help you can.
"To have a penalty given against us as soft as that really deflates you.
"They scored some good goals, they've got great quality and they're very clinical."