The Glasgow giants were yesterday kept apart in the Scottish Communities League Cup quarter final draw, with Neil Lennon's side handed a home tie against St Johnstone.
The cups present the only chances of Old Firm battles this season but Ledley insists the Hoops aren't missing the rivalry.
He said: "Most people wanted to see an Old Firm game against Rangers but as players we don't care.
"We are playing good football at the moment and taking it game by game. We just want to continue our form.
"Am I missing the Old Firm games? No, nowhere near it.
"When you're playing the Champions League it makes up for it.
"It doesn't bother us at all (if we face Rangers at all this season). We just want to keep playing and see what happens.
"Our main aim is to win the league, win all the cups and to get as far as we possibly can in Europe.
"Rangers are not in the SPL so we have to get on with things.
"Can we do the clean sweep this season? Fingers crossed, yes, that is definitely our aim."
Celtic's 3-2 win in Moscow on Tuesday night has given them real hope that they can qualify for the last 16 in Europe's top club competition.
The Parkhead side face a daunting double header with Barcelona in the coming weeks and Ledley is keen to continue proving the doubters wrong as the Hoops bid for Euro glory.
He said: "We can't get too carried away. We are just happy to be playing at the top level in Europe.
"It's fantastic and now we have two games coming up against the best team in the world.
"It's going to be really difficult but we need to take it game by game and see where it takes us."
He went on: "When I signed for Celtic, I wanted to be playing the Cham-pions League and so did the other players here. Now we are relishing it.
"Hopefully the guys who questioned why I came here will know now because we are playing in the best competition in the world."