Swans are safe from the drop after an impressive first season in the Premier League.
"It shows the magnitude of what our players have put in that with these last couple of games against the most decorated clubs in the history of English football we can go and play with a freedom," Rodgers said.
"If you look at Wolves, who were 3-0 and 4-1 down against us last week and came back to draw, they had a freedom. You run and play with nothing to lose.
"That's why it's not an easy game, but a dangerous game for Manchester United.
"We have freedom. We play with freedom anyway but we have been cut loose from things that sometimes can hold you back and we can go and play."