Ledley and his Hoops team-mates will play their third game in eight days on Tayside on Sunday when they take on United in the SPL.
They lost 2-0 to Kilmarnock at Parkhead in their previous league outing last Saturday and have traditionally found trips to Tannadice difficult.
But the Welshman, now getting back to his best after recovering from a groin injury, believes Neil Lennon's squad is strong enough to deal with their hectic schedule.
He said: "We lost at Tannadice last season so it just shows it's no easy place to go. They haven't been doing too well this year so they will be desperate to get some points.
"It's one we're looking forward to and we'll have to make sure we keep up our recent form. We have gone from the Champions League, to the SPL, to the League Cup, and each one is really different.
"But we've done this before. We had the same thing last year when we played in the Europa League and we managed to adapt well. We treat every game the same and give 100 per cent and we'll be doing the same on Sunday.
"It's always a good atmosphere at Tannadice and we always get a good game there. The fans are close to the pitch and it's always pretty difficult so I enjoy the occasion of going there."
Ledley added: "As a player, you want to play in every single game, but you can understand why you are rested sometimes.
"It's important you rest and recover well, especially at a time like this when there are a lot of games in a short space of time.
"We've always rotated the squad quite a bit during the season so if I sit out then I sit out. I'll just take that and move on."
Ledley is hoping he is named in the starting line-up for the Group G match with Spanish superstars Barcelona at Parkhead next week.
He was left devastated as Jordi Alba scored an injury-time winner for Tito Vilanova's team in the Nou Camp in their last European outing last month.
Despite that agonising reverse, the midfielder is confident Celtic can give a good account of themselves in the East End of Glasgow.
Speaking in the Celtic View, he said: "We're dealing with the Champions League well at the moment and we've matured over the years in terms of European performances.
"That took us a while because when the manager came in he changed the squad completely and it takes time to gel as a unit.
"But I think we are performing well as a team. That's because we all know each other's strengths and weaknesses."