The striker bagged a brace as the Light Blues claimed a comfortable 3-0 win over Airdrie at Ibrox on Friday night to book their place in the fourth round of the competition.
The Irishman lifted the Scottish Cup with Dundee United in 2010 and would love to go all the way again, this time as a Rangers player.
Daly said: "It's massive to be in the next round. Every year, you want to do well in the cup competitions. It's the same at this club.
"I've been lucky enough to win the cup before and I'd like to do it again. It's going to be difficult but we are in the next round and we are just looking forward to the draw now."
Daly was on the scoresheet for United when they dumped Rangers out of the tournament last season with a commanding 3-0 win at Tannadice.
But he says he would be happy for the Glasgow giants to pit their wits against top-flight opposition this year, especially if handed a tie at Ibrox.
He said: "Every club is probably looking for a home draw so we will hopefully get a home draw again and get a big crowd in.
"We are just happy to be in the draw. Whoever we get, we get.
"It would be nice to test ourselves against a Premiership side but we will wait and see who we get in the draw."
After a goalless first half against Airdrie, Daly struck twice in the space of four second-half minutes to put Rangers firmly in the driving seat.
The double continued a blistering run of seven goals in the last four games for Daly and saw the forward take his tally for the season to 14 goals so far.
He said: "I'm quite a confident lad and when I go on the park I believe that I'm going to score goals.
"The service has been outstanding and I've been getting in the right positions at the moment. Sometimes things just fall for you and it happened in this game.
"I got my first couple of goals for the club against Airdrie [in August] and I was delighted to be on the scoresheet again.
"More importantly, I'm delighted to be in the next round of the cup."