With a repeat fixture against Louth in the knockouts not possible, Monaghan will find out whether they face Tyrone, Galway or Mayo next weekend in Monday morning’s draw.
“You’re at that stage of the championship, it’s down to 12 teams now. You don’t expect anything easy,” added McManus.
“We’ve had many tough games this year and many tough championship games over the years.
“We’ll get ourselves dusted down and we’ll get ready for what comes our way next weekend.”
McManus again came off the bench against Meath, hitting a crucial late free as Colm O’Rourke’s men threatened a comeback from nine points down.
“It’s something we’ll have to look at,” said the three-time All-Star of how his side finished the game.
“We had a chance to kick on and close the game out more comfortably than we did. Meath will always die with their boots on.
“You do what you can to help the team. Some of the days you start, some of the days you’re coming off the bench and it’s whatever is needed on any particular day.”