Neil Lennon's men will discover who they will face in the second qualifying round of this year's competition on Monday. The Hoops stunned Europe last year as they marched to the last 16 of the continent's premier club contest, beating Barcelona along the way.
But among their list of potential opponents are a number of tricky journeys the seeded Celts would be grateful to avoid. Ledley, however, isn't worried, saying: "We haven't really looked into the potential opponents we can face too much at the moment. It's just about preparing ourselves. That's what we did last year."
He added: "Ever since I joined this club, it's always been all about us and we go from there. When the draw is made, we will look into it a bit more. Obviously with the flights, you don't want to go too far. But it doesn't really bother us who we get. We need to prepare properly ourselves."
Among the unseeded sides presenting logistical challenges and long flights for Celtic are Kazaks Shakhter Karagandy, Bosnian outfit Zeljeznicar, Ludogorets Razgrad from Bulgaria, Macedonians Vardar and Sutjeska NikSic of Montenegro.
The Scottish champions could also face Latvian opposition in Daugava Daugavpils, Estonians Nomme Kalju, Luxembourgians Fola Esch, Birkirkara of Malta, Hungarian's Gyor and FH of Iceland. Closer to home, League of Ireland winners Sligo Rovers are also in the draw, as are Cliftonville from the Northern Ireland and Welsh side The New Saints.
Faroese side EB/Streymur, Tre Penne of San Marino, Andorrans Lusitanos and Armenian's Shiraksz could yet end up taking the Hoops on should they progress from the first qualifying round. Celtic returned to pre-season training on Thursday morning and Ledley is confident the players will be ready for whichever side they take on in the first leg on either July 16 or 17.
"We're back early so we can get ready for that first qualifier," he said. "We know it will be difficult but we have got a long time to prepare and hopefully we can be ready. It's massively important, not just for the players but for the club as well.
"Everybody wants to see Celtic in Europe. Everything we did last year and with the fans [behind us] proves how much it means to them. Hopefully we can do it again. It's the best competition in the world and everybody wants to play in it.
"But last year is history. We made history but now we've got to start again. That's what players do. If you have a good season personally, then you have to kick on. Now hopefully we can go again."