The Red Devils were unable to find a way through at Anfield in what was a disappointing match, but they also restricted their opponents to make the short trip home with a point to show for their efforts.
Herrera, who played the full 90 minutes of the low-key affair, was quick to talk up United's efforts after becoming the first side to leave Anfield with a share of the spoils this term.
"We just tried to win every duel, every battle, every ball. We knew it would be a good fight," he told Sky Sports News. "We can be proud.
"We wanted to win but I think we showed we are a big team, we are going to fight for everything and I am proud of every teammate."
The point ensures that United remain in seventh place in the Premier League table, five points off joint-leaders Manchester City and Arsenal.